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| 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 |
CART
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