# sinh

Hyperbolic sine of argument in radians

## Syntax

`Y = sinh(X)`

## Description

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

`Y = sinh(X)` returns the hyperbolic sine of the elements of `X`.

## Examples

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### Graph of Hyperbolic Sine Function

Graph the hyperbolic sine over the domain .

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

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### Hyperbolic Sine

The hyperbolic sine of z is

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