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# cosh

Hyperbolic cosine

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

expand all

### 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

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