mathjs/docs/reference/functions/coth.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 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 | Boolean | Complex | Unit | Array | Matrix | null | 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)


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