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# Trigonometry (with CD-ROM, BCA/iLrn™ Tutorial, Personal Tutor, and InfoTrac)

**by**McKeague, Charles P.; Turner, Mark D.

5th

### 9780534403928

0534403921

Hardcover

12/2/2003

THOMSON

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## Summary

This book provides readers with a solid understanding of the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the book. There are numerous calculator notes placed throughout the book.

## Table of Contents

1. THE SIX TRIGONOMETRIC FUNCTIONS | |

Angles, Degrees, and Special Triangles | |

The Rectangular Coordinate System | |

Definition I: Trigonometric Functions | |

Introduction to Identities | |

More on Identities | |

Summary | |

Test | |

Group Project | |

Research Project | |

2. RIGHT TRIANGLE TRIGONOMETRY | |

Definition II: Right Triangle Trigonometry | |

Calculators and Trigonometric Functions of an Acute Angle | |

Solving Right Triangles | |

Applications | |

Vectors: A Geometric Approach | |

Summary | |

Test | |

Group Project | |

Research Project | |

3. RADIAN MEASURE | |

Reference Angle | |

Radians and Degrees | |

Definition III: Circular Functions | |

Arc Length and Area of a Sector | |

Velocities | |

Summary | |

Test | |

Group Project | |

Research Project | |

4. GRAPHING AND INVERSE FUNCTIONS | |

Basic Graphs and Amplitude | |

Period, Reflection, and Vertical Translation | |

Phase Shift | |

Finding an Equation from Its Graph | |

Graphing Combinations of Functions | |

Inverse Trigonometric Functions | |

Summary | |

Test | |

Group Project | |

Research Project | |

5.IDENTITIES AND FORMULAS | |

Proving Identities | |

Sum and Difference Formulas | |

Double-Angle Formulas | |

Half-Angle Formulas | |

Additional Identities | |

Summary | |

Test | |

Group Project | |

Research Project | |

6. EQUATIONS | |

Solving Trigonometric Equations | |

More on Trigonometric Equations | |

Trigonometric Equations Involving Multiple Angles | |

Parametric Equations and Further Graphing | |

Summary | |

Test | |

Group Project | |

Research Project | |

7. TRIANGLES | |

The Law of Sines | |

The Ambiguous Case | |

The Law of Cosines | |

The Area of a Triangle | |

Vectors: An Algebraic Approach | |

Vectors: The Dot Product | |

Summary | |

Test | |

Group Project | |

Research Project | |

8. COMPLEX NUMBERS AND POLAR COORDINATES | |

Complex Numbers | |

Trigonometric Form for Complex Numbers | |

Products and Quotients in Trigonometric Form | |

Roots of a Complex Number | |

Polar Coordinates | |

Equations in Polar Coordinates and Their Graphs | |

Summary | |

Test | |

Group Project | |

Research Project | |

Appendix A: Review of Functions | |

Introduction to Functions | |

The Inverse of a Function | |

Appendix B: Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithms Are Exponents | |

Properties of Logarithms | |

Common Logarithms and Natural Logarithms | |

Exponential Equations and Change of Base | |

Answers to Odd Numbered Exercises and Chapter Tests | |

Index |