mathjs/docs/reference/functions/acoth.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 acoth

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

For matrices, the function is evaluated element wise.


## Syntax

```js
math.acoth(x)
```

### Parameters

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

### Returns

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


## Examples

```js
math.acoth(0.5);       // returns 0.8047189562170503
```


## See also

[acsch](acsch.md),
[asech](asech.md)


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