1. Angles and the Trigonometric Functions
1.1 Angles and Radian Measure
1.2 Right Triangle Trigonometry
1.3 Trigonometric Functions of Any Angle
1.4 Trigonometric Functions: The Unit Circle
2. Graphs of the Trigonometric Functions; Inverse Trigonometric Functions
2.1 Graphs of Sine and Cosine Functions
2.2 Graphs of Other Trigonometric Functions
2.3 Inverse Trigonometric Functions
2.4 Applications of Trigonometric Functions
3. Trigonometric Identities and Equations
3.1 Verifying Trigonometric Identities
3.2 Sum and Difference Formulas
3.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
3.4 Product-to-Sum and Sum-to-Product Formulas
3.5 Trigonometric Equations
4. Laws of Sines and Cosines; Vectors
4.1 The Law of Sines
4.2 The Law of Cosines
4.3 Vectors
4.4 The Dot Product
5. Complex Numbers, Polar Coordinates and Parametric Equations
5.1 Complex Numbers
5.2 Complex Numbers in Polar Form; DeMoivre's Theorem
5.3 Polar Coordinates
5.4 Graphs of Polar Equations
5.5 Parametric Equations