Complex.Sinh Method

Returns the hyperbolic sine of a Complex.

public static Complex Sinh(
Complex z
);

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

If z = x+iy,

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

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

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

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

$\sinh(+\infty + i\infty )$ returns $\pm \infty + i\NaN$ (where the sign of the real part of the result is unspecified).

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

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

$\sinh(+0 + i\NaN)$ returns $\pm 0 + i\NaN$ (where the sign of the real part of the result is unspecified).

$\sinh(+\infty + i\NaN)$ returns $\pm \infty + i\NaN$ (where the sign of the real part of the result is unspecified).

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

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

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

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