# Cosine of a complex number

Calculator for the Cosine of a complex number

## Cosine calculator

This function returns the cosine for an angle that is specified as a complex number.

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

Complex number cosine calculator

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

## Calculate the cosine 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 $$Im$$.

$$\displaystyle cos(z) = cos(x) · cosh(y) - sin(x) · sinh(y)$$

Example

$$\displaystyle cos(z) = cos(3+5i)$$

$$Re = cos(3) · cosh(5) =-73.47$$     $$Im = sin(3) · sinh(5) =-10.47$$

$$cos(3+5i) = -73.47-10.47i$$