# Cosh function

From Graphic maths

**Level: A Level Maths**

The cosh function is a hyperbolic function.

## Contents

## Equation and graph

The cosh function is defined as:

Here is a graph of the function:

## cosh as average of two exponentials

The cosh function can be interpreted as the average of two functions, and . This animation illustrates this:

## Other forms of the equation

If we multiply the top and bottom of the original equation for the cosh function by we get

Alternatively, if we multiply the top and bottom of the original equation for the cosh function by we get