Sine of a complex number

This function returns the sine for an angle specified as a complex number.

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

Formulas of the 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 \(Im\).

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

Example

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

\(Re = sin(3) · cosh(5) =10.473\)     \(Im = cos(3) · sinh(5) =-73.461\)

\(cos(3+5i) = 10.473 -73.461i\)