# Sinh function

From Graphic maths

**Level: A Level Maths**

The sinh function is a hyperbolic function.

## Contents

## Equation and graph

The sinh function is defined as:

Here is a graph of the function:

## sinh as average of two exponentials

The sinh 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 sinh function by we get

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