Syntax

C#
public static Complex Tanh( Complex z )

Visual Basic (Declaration)
Public Shared Function Tanh ( _ z As Complex _ ) As Complex

Visual C++
public: static Complex Tanh( Complex z )

A newly constructed Complex initialized to the hyperbolic tangent of the argument.

Remarks

If z = x+iy,

$\tanh(\bar{z}) = \overline{\tanh(z)}$ and tanh is odd.

$\tanh(+0 + i0)$ returns .

$\tanh(+\infty + iy)$ returns , for all positive-signed numbers y.

$\tanh(x + i\infty )$ returns $\NaN + i\NaN$ , for finite x.

$\tanh(+\infty + i\NaN)$ returns $1 \pm i0$ (where the sign of the imaginary part of the result is unspecified).

$\tanh(\NaN + i0)$ returns $\NaN + i0$ .

$\tanh(\NaN + iy)$ returns $\NaN + i\NaN$ , for all nonzero numbers y.

$\tanh(x + i\NaN)$ returns $\NaN + i\NaN$ , for finite x.

$\tanh(\NaN + i\NaN)$ returns $\NaN + i\NaN$ .