# Sine of a complex number

Online calculator for calculating the sine of a complex number

## Calculate the sine

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.

Complex number sine calculator

 Input Complex number + i Decimal places 0 1 2 3 4 6 8 10 Result Sine

## 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

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

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

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