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| Preliminaries | |
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| The Real Number System and equations | |
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| The coordinate plane | |
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| Graphs, technology, and equation solving | |
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| Functions | |
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| Graphs of functions | |
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| Graphs and transformations Chapter 0 Review | |
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| Discovery Project 0 | |
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| Triangle Trigonometry | |
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| Trigonometric Functions of acute angles | |
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| Trigonometric functions of angles | |
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| Applications of right triangle trigonometry | |
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| Law of Cosines | |
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| Law of Sines Chapter 1 Review | |
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| Discovery Project 1 | |
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| Trigonometric Functions | |
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| Angles and Radian measure | |
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| Special Topics: Arc length and angular speed | |
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| The sine, cosine, and tangent functions | |
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| The sine, cosine, and tangent functions | |
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| Algebra and identities | |
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| Basic graphs | |
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| Periodic graphs and simple harmonic motion | |
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| Special Topics: Other trigonometric graphs | |
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| Other trigonometric functions | |
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| Chapter 2 Review | |
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| Discovery Project 2 | |
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| Trigonometric Identities and Equations | |
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| Basic identities and proofs | |
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| Addition and subtraction identities | |
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| Special Topics: Lines and Angles | |
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| Other Identities | |
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| Inverse Trigonometric Functions | |
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| Trigonometric Equations | |
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| Special Topics: Other solution methods for trigonometric equations | |
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| Chapter 3 Review | |
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| Discovery Project 3 | |
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| Applications of Trigonometry | |
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| Complex numbers | |
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| The complex plane and polar form for complex numbers | |
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| DeMoivre's Theorem and the nth roots of complex numbers | |
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| Vectors in the plane | |
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| The dot product | |
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| Chapter 4 Review | |
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| Discovery Project 4 | |
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| Analytic Geometry and Trigonometry | |
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| Circles and ellipses | |
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| Hyperbolas | |
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| Parabolas | |
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| Rotations and second-degree equations | |
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| Special Topics: Rotation of axes | |
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| Plane curves and parametric equations | |
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| Polar coordinates | |
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| Polar equations of conics | |
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| Chapter 5 Review | |
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| Discovery Project 5 | |
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| Exponential and Logarithmic Functions | |
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| Exponential functions | |
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| Applications of exponential functions | |
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| Common and natural logarithmic functions | |
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| Properties of logarithms | |
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| Special Topics: Logarithms to other bases | |
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| Solving exponential and logarithmic equations algebraically | |
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| Chapter 6 Review | |
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| Discovery Project | |
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| Appendix | |
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| Geometry Review | |