# Documentation

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# cosh

Hyperbolic cosine

## Syntax

`Y = cosh(X)`

## Description

The `cosh` function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

`Y = cosh(X)` returns the hyperbolic cosine for each element of `X`.

## Examples

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### Graph of Hyperbolic Cosine

Graph the hyperbolic cosine function over the domain

```x = -5:0.01:5; plot(x,cosh(x)), grid on ```

## Hyperbolic Cosine

The hyperbolic cosine of z is

`$\mathrm{cosh}\left(z\right)=\frac{{e}^{z}+{e}^{-z}}{2}.$`