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| An Introduction to Trigonometry Preview | |
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| Angle Measure, Special Triangles, and Special Angles | |
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| The Trigonometry of Right Triangles | |
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| Trigonometry and the Coordinate Plane | |
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| Unit Circles and Trigonometric Functions | |
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| Trigonometric Graphs and Models | |
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| Graphs of Sine and Cosine Functions | |
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| Graphs of Tangent and Cotangent Functions | |
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| Transformations and Applications of Trigonometric Graphs | |
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| Trigonometric Models | |
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| Trig Identities: Their Purpose, Place, and Application Preview | |
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| Fundamental Identities and Families of Identities | |
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| Constructing and Verifying Identities | |
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| The Sum and Difference Identities | |
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| Double Angle, Half Angle, and Product-to-Sum Identities | |
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| Trigonometric Equations Preview | |
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| One-to-One and Inverse Functions | |
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| The Inverse Trig Functions and their Application | |
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| Solving Basic Trig Equations | |
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| General Trig Equations and Applications | |
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| Parametric Equations and Graphs | |
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| Applications of Trigonometry Preview | |
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| Oblique Triangles and the Law of Sines | |
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| Law of Sines and the Ambiguous Case | |
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| The Law of Cosines | |
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| Vectors and Vector Diagrams | |
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| Vectors Applications and the Dot Product | |
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| Complex Numbers | |
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| Complex Numbers in Trigonometric Form | |
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| Demoivre's Theorem and the Nth Roots Theorem | |
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| Conic Sections and Polar Coordinates Preview | |
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| The Circle and the Ellipse | |
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| The Hyperbola | |
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| Foci and the Analytic Ellipse and Hyperbola | |
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| The Analytic Parabola | |
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| Polar Coordinates, Equations, and Graphs | |
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| More on the Conic Sections: Rotations of Axes and Polar Form | |