coth

Hyperbolic cotangent

Syntax

Y = coth(X)

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.

Plot the hyperbolic cotangent over the domain $-\pi < x < 0$ and $0 < x < \pi$ .

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

The hyperbolic cotangent of z is

$\coth (z) = \frac{1}{\tanh (z)} .$

This function fully supports tall arrays. For more information, see Tall Arrays.