Syntax

C#
public static Complex Cosh( Complex z )

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

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

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

Remarks

If z = x+iy,

$\cosh(\bar{z}) = \overline{\cosh(z)}$ and cosh is even.

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

$\cosh(+0 + i\infty )$ returns $\NaN \pm i0$ (where the sign of the imaginary part of the result is unspecified).

$\cosh(+\infty + i0)$ returns $+\infty + i0$ .

$\cosh(+\infty + i\infty )$ returns $+\infty + i\NaN$ .

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

$\cosh(+\infty + iy)$ returns $+\infty [\cos(y)+i\sin(y)]$ , for finite nonzero y.

$\cosh(+0 + i\NaN)$ returns $\NaN \pm i0$ (where the sign of the imaginary part of the result is unspecified).

$\cosh(+\infty + i\NaN)$ returns $+\infty + i\NaN$ .

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

$\cosh(\NaN + i0)$ returns $\NaN \pm i0$ (where the sign of the imaginary part of the result is unspecified).

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

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