simple-squiggle/node_modules/mathjs/docs/reference/functions/acoth.md

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# Function acoth
Calculate the hyperbolic arccotangent of a value,
defined as `acoth(x) = atanh(1/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 &#124; Complex &#124; Array &#124; Matrix | Function input
### Returns
Type | Description
---- | -----------
number &#124; Complex &#124; Array &#124; Matrix | Hyperbolic arccotangent of x
### Throws
Type | Description
---- | -----------
## Examples
```js
math.acoth(0.5) // returns 0.8047189562170503
```
## See also
[acsch](acsch.md),
[asech](asech.md)