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# Function sinh

Calculate the hyperbolic sine of a value,
defined as `sinh(x) = 1/2 * (exp(x) - exp(-x))`.

For matrices, the function is evaluated element wise.


## Syntax

```js
math.sinh(x)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`x` | number &#124; BigNumber &#124; Complex &#124; Unit &#124; Array &#124; Matrix | Function input

### Returns

Type | Description
---- | -----------
number &#124; BigNumber &#124; Complex &#124; Array &#124; Matrix | Hyperbolic sine of x


### Throws

Type | Description
---- | -----------


## Examples

```js
math.sinh(0.5)       // returns number 0.5210953054937474
```


## See also

[cosh](cosh.md),
[tanh](tanh.md)
