mathjs/docs/reference/functions/atanh.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function atanh

Calculate the hyperbolic arctangent of a value,
defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.

For matrices, the function is evaluated element wise.


## Syntax

```js
math.atanh(x)
```

### Parameters

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

### Returns

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


## Examples

```js
math.atanh(0.5)       // returns 0.5493061443340549
```


## See also

[acosh](acosh.md),
[asinh](asinh.md)