# Documentation

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# asech

Inverse hyperbolic secant

## Syntax

`Y = asech(X)`

## Description

`Y = asech(X)` returns the inverse hyperbolic secant for each element of `X`.

The `asech` function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

## Examples

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### Graph of Inverse Hyperbolic Secant Function

Graph the inverse hyperbolic secant over the domain .

```x = 0.01:0.001:1; plot(x,asech(x)), grid on ```

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### Inverse Hyperbolic Secant

The inverse hyperbolic secant can be defined as

`${\text{sech}}^{-1}\left(z\right)={\mathrm{cosh}}^{-1}\left(\frac{1}{z}\right).$`