# Analytic Trigonometry

## Definition

**Analytic trigonometry** is the branch of mathematics that examines trigonometric identities in terms of their positions on the *x-y* plane.

## Why Study Analytic Trigonometry?

Trigonometry is used to solve many topics in engineering and science.

The identities that we learn in this
chapter will help us to **simplify and solve problems** that we meet later. You can see how we use some of this knowledge in Uses of
Trigonometry.

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Chapter Contents

- Analytic Trigonometry
- 1. Trigonometric Identities
- 1a. Trigonometric Ratios - Interactive Graph
- 2. Sin, cos, tan of Sum of Two Angles
- 3. Double Angle Formulas
- 4. Half Angle Formulas
- 5. Trigonometric Equations
- 6. Express in the form
*R*sin (θ + α) - 7. Inverse Trigonometric Functions
- Inverse trigonometric function graph animations