mathjs/docs/reference/functions/cosh.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

# Function cosh

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

For matrices, the function is evaluated element wise.


## Syntax

```js
math.cosh(x)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`x` | Number | BigNumber | Boolean | Complex | Unit | Array | Matrix | null | Function input

### Returns

Type | Description
---- | -----------
Number | BigNumber | Complex | Array | Matrix | Hyperbolic cosine of x


## Examples

```js
math.cosh(0.5);       // returns Number 1.1276259652063807
```


## See also

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


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