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# Function asech
Calculate the hyperbolic arcsecant of a value,
defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.
For matrices, the function is evaluated element wise.
## Syntax
```js
math.asech(x)
```
### Parameters
Parameter | Type | Description
--------- | ---- | -----------
`x` | number | Complex | Array | Matrix | Function input
### Returns
Type | Description
---- | -----------
number | Complex | Array | Matrix | Hyperbolic arcsecant of x
## Examples
```js
math.asech(0.5); // returns 1.3169578969248166
```
## See also
[acsch](acsch.md),
[acoth](acoth.md)