coth( z )

The hyperbolic otangent of z in Math. Defined by

\[ \tanh z = \frac{ \cosh z }{ \sinh z } \]

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis is zero.

Imaginary part on the imaginary axis:

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   tanh   arccoth

Function category: hyperbolic functions