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1. The Trigonometric Functions
1.1 Trigonometric Functions of Acute Angles
1.2 Applications of Right Triangles
1.3 Trigonometric Functions of Any Angle
1.4 Radians, Arc Length, and Angular Speed
1.5 Circular Functions: Graphs and Properties
1.6 Graphs of Transformed Sine and Cosine Functions
2. Trigonometric Identities, Inverse Functions, and Equations
2.1 Identities: Pythagorean and Sum and Difference
2.2 Identities: Cofunction, Double-Angle, and Half-Angle
2.3 Proving Trigonometric Identities
2.4 Inverses of the Trigonometric Functions
2.5 Solving Trigonometric Equations
3. Applications of Trigonometry
3.1 The Law of Sines
3.2 The Law of Cosines
3.3 Complex Numbers: Trigonometric Form
3.4 Polar Coordinates and Graphs
3.5 Vectors and Applications
3.6 Vector Operations