Applications of Euler's Formula

Homework Statement

I don't know if this belongs here, but we are currently learning about Euler's formula in class. I was wondering if anyone knew some interesting applications of the formula.

Homework Equations

e^ix = cosx + isinx

The Attempt at a Solution

I looked on wikipedia and got a short line a about circuitry, but when i looked further into that I got lost...

You can use it to derive expressions for $$\sin n\theta$$ and $$\cos n\theta$$, you can also show that
$$e^{i\pi}+1=0$$