# Trigonometry

## 1. Trigonometry of Right Triangles

1.1 Degree and Radian Measure 1.2 Trigonometric Functions in a Right Triangle 1.3 Extending the Domains of Trigonometric Functions to any Angles 1.4 The Law of Cosines 1.5 The Law of Sines 1.6 Areas of Triangles

## 2. Visualizing Trigonometry

2.1 The Unit Circle 2.2 Graphs of Sine and Cosine 2.3 Graphs of the Other Trigonometric Functions 2.4 The Inverse Trigonometric Functions

## 3. The Algebra of Trigonometry: Trigonometric Identities

3.1 The Fundamental Identities 3.2 The Angle Sum and Difference Identities 3.3 The Double and Half Angle Identities and Power Reduction 3.4 The Multiple Angle and Product-to-Sum Identities 3.5 Solving Trigonometric Equations

## 4. Applications of Trigonometry

4.1 Polar Coordinates 4.2 Polar Representation of the Complex Numbers 4.3 De Moivre's Theorem 4.3 Periodic Functions and Modeling the Real World