Examples for

# Trigonometry

Trigonometry is the study of the relationships between side lengths and angles of triangles and the applications of these relationships. The field is fundamental to mathematics, engineering and a wide variety of sciences. Wolfram|Alpha has comprehensive functionality in the area and is able to compute values of trigonometric functions, solve equations involving trigonometry and more.

### Trigonometric Calculations

Evaluate trigonometric functions or larger expressions involving trigonometric functions with different input values.

#### Compute values of trigonometric functions:

#### Compute values of inverse trigonometric functions:

### Trigonometric Identities

Learn about and apply well-known trigonometric identities.

#### Find multiple-angle formulas:

#### Find addition formulas:

#### Find other trig identities:

### Spherical Trigonometry

Study the relationships between side lengths and angles of triangles when these triangles are drawn atop a spherical surface.

#### Apply a theorem of spherical trigonometry:

### Trigonometric Functions

Learn about and perform computations using trigonometric functions and their inverses, over the real or complex numbers.

#### Compute properties of a trigonometric function:

#### Compute properties of an inverse trigonometric function:

#### Plot a trigonometric function:

#### Analyze a trigonometric function of a complex variable:

#### Analyze a trigonometric polynomial:

#### Generate a table of special values of a function:

#### Compute the root mean square of a periodic function:

### Trigonometric Equations

Solve equations involving trigonometric functions.

#### Solve a trigonometric equation:

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Step-by-Step Solutions for ProofsStep-by-Step Solutions for Trigonometry### RELATED EXAMPLES

### Trigonometric Theorems

Learn about and apply well-known trigonometric theorems.