---
layout: default
---
Function csch #
Calculate the hyperbolic cosecant of a value,
defined as `csch(x) = 1 / sinh(x)`.
To avoid confusion with the matrix hyperbolic cosecant, this function
does not apply to matrices.
Syntax #
```js
math.csch(x)
```
Parameters #
Parameter | Type | Description
--------- | ---- | -----------
`x` | number | BigNumber | Complex | Function input
Returns #
Type | Description
---- | -----------
number | BigNumber | Complex | Hyperbolic cosecant of x
Throws #
Type | Description
---- | -----------
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.html),
[sech](sech.html),
[coth](coth.html)