# Function coth Calculate the hyperbolic cotangent of a value, defined as `coth(x) = 1 / tanh(x)`. For matrices, the function is evaluated element wise. ## Syntax ```js math.coth(x) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | Complex | Unit | Array | Matrix | Function input ### Returns Type | Description ---- | ----------- number | Complex | Array | Matrix | Hyperbolic cotangent of x ## Examples ```js // coth(x) = 1 / tanh(x) math.coth(2) // returns 1.0373147207275482 1 / math.tanh(2) // returns 1.0373147207275482 ``` ## See also [sinh](sinh.md), [tanh](tanh.md), [cosh](cosh.md)