Euler Formula (Complex)

This formula is used for converting Complex Numbers into their polar form.

$$e^{i\theta }=cos\theta +isin\theta$$

or

$$e^{iz}=cosz+isinz$$

Understanding complex Exponents

With the Euler Formula the behavior of a complex exponent $z=x+iy$ in the complex plane is shown: $e^z=e^{x+iy}=e^x{e}^{iy}=e^x(cosy+sin\text{ }y)$