mathjs/docs/reference/functions/csch.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 csch

Calculate the hyperbolic cosecant of a value,
defined as `csch(x) = 1 / sinh(x)`.

For matrices, the function is evaluated element wise.


## Syntax

```js
math.csch(x)
```

### Parameters

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

### Returns

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


## Examples

```js
// csch(x) = 1/ sinh(x)
math.csch(0.5);       // returns 1.9190347513349437
1 / math.sinh(0.5);   // returns 1.9190347513349437
```


## See also

[sinh](sinh.md),
[sech](sech.md),
[coth](coth.md)


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