Coburn and Herdlick
Trigonometry, 2e
Chapter 1: Introduction to Trigonometry
1.1 Angle Measure and Special Triangles
1.2 Properties of Triangles; Similar Triangles
Mid-Chapter Check
RBC: More on Special Triangles
1.3 Trigonometry: A View from the Coordinate Plane
1.4 Fundamental Identities and Families of Identities
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: The Range of Sine, Cosine, and Tangent
SCS: Creating New Identities
Chapter 2: Right Triangles & Static Trigonometry
2.1 A Right Triangle View of Trigonometry
2.2 Solving Right Triangles
Mid-Chapter Check
RBC: The Area of a Triangle
2.3 Applications of Static Trigonometry
2.4 Extending Beyond Acute Angles
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: Solving Triangles
SCS: Standard Angles, Reference Angles, and the Trig Functions
Cumulative Review 1 - 2
Chapter 3: Radian Measure & Dynamic Trigonometry
3.1 Angle Measure in Radians
3.2 Arc Lengths, Velocities, and the Area of a Circular Sector
Mid-Chapter Check
RBC: More on Radians
3.3 The Unit Circle
3.4 The Trigonometry of Real Numbers
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: Signs, Quadrants and Reference Arcs
SCS: Trigonometry of the Real Numbers and the Wrapping Function
Cumulative Review 1 - 3
Chapter 4: Trigonometric Graphs and Models
4.1 Graphs of Sine and Cosine Functions
4.2 Graphs of Cosecant, Secant, Tangent and Cotangent Functions
Mid-Chapter Check
RBC: Trigonometric Potpourri
4.3 Transformations of Trigonometric Graphs
4.4 Trigonometric Applications and Models
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 – 4
Modeling With Technology: Trigonometric Equation Models
Chapter 5: Trigonometric Identities
5.1 More on Verifying Identities
5.2 The Sum and Difference Identities
Mid-Chapter Check RBC: Understanding Identities
5.3 The Double Angle and Half Angle Identities
5.4 The Product-to-Sum and Sum-to-Product Identities
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 5
Chapter 6: Inverse Functions and Trigonometric Equations
6.1 One-to-One and Inverse Functions
6.2 Inverse Trigonometric Functions and their Applications
Mid -Chapter Check
RBC: More on Equation Solving
6.3 Solving Basic Trigonometric Equations
6.4 General Trigonometric Equations and Applications
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS: Trigonometric Equations and Inequalities
Cumulative Review 1 - 6
Chapter 7: Applications of Trigonometry
7.1 Oblique Triangles and the Law of Sines
7.2 The Law of Cosines; the Area of a Triangle
Mid -Chapter Check
RBC
7.3 Vectors and Vector Diagrams
7.4 Vectors Applications and the Dot Product
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 7
Chapter 8: Trigonometric Connections to Algebra
8.1 Complex Numbers
8.2 Complex Numbers in Trigonometric Form
8.3 Demoivre’s Theorem and the nth Roots Theorem
Mid-Chapter Check
RBC
8.4 Polar Coordinates and Equations
8.5 Graphs of Polar Equations
8.6 Parametric Equations and Graphs
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 – 8
Appendices
A.1 Exponential and Logarithmic Functions
A.2 Review and Technology
•Miscellaneous Algebra Review
•Transformations of Basic Graphs
•Solving Equations Graphically
•Regression and Calculator Use
•Families of Polar Graphs