John Coburn
Algebra & Trigonometry
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2
February 13, 2009
9780077276515
Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.
Written in a readable, yet mathematically mature manner appropriate for college algebra level students, Coburn’s Algebra & Trigonometry uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn’s hallmark applications are born out of the author’s extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area.
Benefiting from the feedback of hundreds of instructors and students across the country, Algebra & Trigonometry second edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.
Algebra & Trigonometry
2nd Edition
By John Coburn
ISBN10: 0077276515
ISBN13: 9780077276515
Copyright: 2010
ISBN10: 0077276515
ISBN13: 9780077276515
Copyright: 2010
09780077276515
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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.
Program Details
Chapter R: A Review of Basic Concepts and Skills
R-1 The Language, Notation, and Numbers of Mathematics
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
APPENDICES
A-1 More on Synthetic Division
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
Chapter R: A Review of Basic Concepts and Skills
R-1 The Language, Notation, and Numbers of Mathematics
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
APPENDICES
A-1 More on Synthetic Division
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
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