mathjs/docs/reference/functions/atanh.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 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 | Boolean | Complex | Unit | Array | Matrix | null | Function input

### Returns

Type | Description
---- | -----------
Number | Complex | Array | Matrix | Hyperbolic arctangent of x


## Examples

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


## See also

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


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