sech( z )

The hyperbolic secant of z in Math. Defined by

\[ \operatorname{sech} z = \frac{ 1 }{ \cosh z } \]

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis:

Imaginary part on the imaginary axis is zero.

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions: cosh   arcsech

Function category: hyperbolic functions