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| P. Algebraic Prerequisites | |
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| The Cartesian Coordinate System | |
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| Functions | |
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| Families of Functions, Transformations, and Symmetry | |
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| Compositions and Inverses | |
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| Chapter P Highlights | |
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| Chapter P Review Exercises | |
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| Chapter P Test | |
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| Angles and the Trigonometric Functions | |
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| Angles and Degree Measure | |
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| Radian Measure, Arc Length, and Area | |
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| Angular and Linear Velocity | |
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| The Trigonometric Functions | |
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| Right Triangle Trigonometry | |
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| The Fundamental Identity and Reference Angles | |
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| Chapter 1: Highlights | |
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| Chapter 1: Review Exercises | |
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| Chapter 1: Chapter Highlights | |
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| Graphs of the Trigonometric Functions | |
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| The Unit Circle and Graphing | |
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| The General Sine Wave | |
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| Graphs of the Secant and Cosecant Functions | |
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| Graphs of the Tangent and Cotangent Functions | |
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| Combining Functions | |
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| Chapter 2: Highlights | |
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| Chapter 2: Review Exercises | |
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| Chapter 2: Chapter Highlights | |
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| Tying it all Together | |
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| Trigonometric Identities | |
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| Basic Identities | |
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| Verifying Identities | |
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| Sum and Difference Identities for Cosine | |
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| Sum and Difference Identities for Sine and Tangent | |
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| Double-Angle and Half-Angle Identities | |
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| Product and Sum Identities | |
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| Chapter 3: Highlights | |
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| Chapter 3: Review Exercises | |
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| Chapter 3: Chapter Highlights | |
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| Tying it all Together | |
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| Solving Conditional Trigonometric Equations | |
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| The Inverse Trigonometric Functions | |
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| Basic Sine, Cosine, and Tangent Equations | |
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| Multiple-Angle Equations | |
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| Trigonometric Equations of Quadratic Type | |
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| Chapter 4: Highlights | |
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| Chapter 4: Review Exercises | |
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| Chapter 4: Chapter Highlights | |
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| Tying it all Together | |
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| Applications of Trigonometry | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Area of a Triangle | |
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| Vectors | |
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| Applications of Vectors | |
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| Chapter 5: Highlights | |
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| Chapter 5: Review Exercises | |
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| Chapter 5: Chapter Highlights | |
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| Tying it all Together | |
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| Complex Numbers, Polar Coordinates, and Parametric Equations | |
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| Complex Numbers | |
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| Trigonometric Form of Complex Numbers | |
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| Powers and Roots of Complex Numbers | |
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| Polar Equations | |
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| Parametric Equations | |
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| Chapter 6: Highlights | |
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| Chapter 6: Review Exercises | |
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| Chapter 6: Chapter Highlights | |
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| Tying it all Together | |
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| Solutions to Try This Exercise | |
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| More Thinking Outside the Box | |
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| Answers to All Exercises | |