Hyperbolic sine of a complex number

This function returns the hyperbolic sine for an angle specified as a complex number.
The Sinh function for real numbers can be found here

To perform the calculation, enter the complex number. Then click on the 'Calculate' button.

Hyperbolic sine of a complex number

In the following description, \(z\) stands for the complex number.
\(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).

\(sinh(z) = sinh(x) · cos(y) + cosh(x) · sin(y)\)

Beispiel

\(sinh(z) = sinh(3+5i)\)

\(Re = sinh(3) · cos(5) =2.842\)     \(Im = cosh(3) · sin(5) =9.654\)

\(sinh(3+5i) = 2.842-9.654i\)