# Documentation

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# sech

Hyperbolic secant

## Syntax

```Y = sech(X) ```

## Description

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

`Y = sech(X)` returns an array the same size as `X` containing the hyperbolic secant of the elements of `X`.

## Examples

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Graph the hyperbolic secant over the domain .

```x = -2*pi:0.01:2*pi; plot(x,sech(x)), grid on```

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### Hyperbolic Secant

The hyperbolic secant of z is

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