Documentation

This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

coth

Hyperbolic cotangent

Syntax

`Y = coth(X)`

Description

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

`Y = coth(X)` returns the hyperbolic cotangent for each element of `X`.

Examples

collapse all

Plot the hyperbolic cotangent over the domain and .

```x1 = -pi+0.01:0.01:-0.01; x2 = 0.01:0.01:pi-0.01; plot(x1,coth(x1),x2,coth(x2)) grid on```

collapse all

Hyperbolic Cotangent

The hyperbolic cotangent of z is

`$\mathrm{coth}\left(z\right)=\frac{1}{\mathrm{tanh}\left(z\right)}.$`