# Trigonometry

2^{nd}Edition

ISBN10: 0077349970

ISBN13: 9780077349974

Copyright: 2011

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### Program Details

# 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

# About the Author

**John Coburn**

John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.

**J.D. (John) Herdlick**

# 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

# About the Author

**John Coburn**

John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.

**J.D. (John) Herdlick**

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