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 | |

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 | |

3. Radian Measure | |

Reference Angle | |

Radians and Degrees | |

Definition III: Circular Functions | |

Arc Length and Area of a Sector | |

Velocities | |

Summary | |

Test | |

4. Graphing and Inverse Functions | |

Basic Graphs | |

Amplitude and Period | |

Phase Shift | |

Finding an Equation from Its Graph | |

Graphing Combinations of Functions | |

Inverse Trigonometric Functions | |

Summary | |

Test | |

5. Identities and Formulas | |

Proving Identities | |

Sum and Difference Formulas | |

Double-Angle Formulas | |

Half-Angle Formulas | |

Additional Identities | |

Summary | |

Test | |

6. Equations | |

Solving Trigonometric Equations | |

More on Trigonometric Equations | |

Trigonometric Equations Involving Multiple Angles | |

Parametric Equations and Further Graphing | |

Summary | |

Test | |

7. Triangles | |

The Law of Sines | |

The Ambiguous Case | |

The Law of Cosines | |

The Area of a Triangle | |

Vectors: An Algebraic Approach | |

Summary | |

Test | |

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 | |

Appendix A: Exponential and Logarithmic Functions | |

Appendix B: Exponential Functions | |

Appendix C: Logarithms Are Exponents | |

Appendix D: Properties of Logarithms | |

Appendix E: Common Logarithms and Natural Logarithms | |

Appendix F: Exponential Equations and Change of Base | |

Answers to Odd-Numbered Exercises and Chapter Tests | |

Index |