# Trigonometry Definition Math Sheet

An Engineers Quick Trigonometry Definition Reference

# Trig Definition Math Help

## Right Triangle Definition

To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:

## Properties of Trig Functions

### Domain

The possible angle input for each function is defined below:

### Range

The ranges of values possible for each of these functions are:

### Period

The periods for each of these trig functions are:

## Inverse Trig Functions

### Definition of Inverse Trig Functions

The definitions of the inverse trig functions are:

Inverse Trig functions are also notated as: