# 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 | Complex | Array | Matrix | Function input ### Returns Type | Description ---- | ----------- number | Complex | Array | 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)