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| Right Triangle Trigonometry | |
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| Angles, Degrees and Triangles | |
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| Similar Triangles | |
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| Definition 1 of Trigonometric Functions: Right Triangle Ratios | |
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| Evaluating Trigonometric Functions: Exactly and with Calculators | |
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| Solving Right Triangles | |
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| Trigonometric Functions | |
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| Angles in the Cartesian Plane | |
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| Definition 2 of Trigonometric Functions: Cartesian Plane | |
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| Trigonometric Functions of Non-Acute Angles | |
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| Basic Trigonometric Identities | |
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| Radian Measure and Circular Functions | |
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| Radian Measure | |
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| Arc Length and Area of a Circular Sector | |
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| Linear and Angular Velocities | |
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| Definition 3 of Trigonometric Functions: Circular Functions | |
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| Graphing Trigonometric Functions | |
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| Basic Graphs of Sine and Cosine Functions: Amplitude and Period | |
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| Translations of the Sine and Cosine functions: Phase shift | |
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| Graphs of Tangent, Cotangent, Cosecant, and Secant Functions | |
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| Trigonometric Identities | |
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| Fundamental Identities | |
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| Verifying Trigonometric Identities | |
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| Sum and Difference Identities | |
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| Double and Half Angle Identities | |
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| Product and Sum Identities | |
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| Solving Trigonometric Equations | |
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| Inverse Trigonometric Functions | |
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| Solving Basic Trigonometric Equations | |
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| Solving More Complicated Trigonometric Equations | |
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| Applications of Trigonometric Functions and Vectors | |
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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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| Dot Product | |
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| Complex Numbers, Polar Coordinates, and Parametric Equations | |
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| Complex Numbers | |
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| Trigonometric (Polar) Form of Complex Numbers | |
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| Products, Quotients, Powers and Roots of Complex Numbers | |
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| Polar Equations and Graphs | |
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| Parametric Equations and Graphs | |
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| Appendix Algebraic Prerequisites and Review | |
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| Cartesian Plane | |
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| Graphing Equations: Point Plotting and Symmetry | |
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| Functions | |
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| Graphs of Functions: Common Functions, Transformations, and Symmetry | |
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| Operation on Functions and Composition of Functions | |
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| One-to-One Functions and Inverse Functions | |