# Euler's cosine

### Euler’s formula for cosine

$\cos \omega t = \dfrac{1}{2} (e^{+j\omega t} + e^{-j\omega t})$

A cosine emerges from spinning numbers in Euler’s Formula,

The spinning green vector is $\dfrac{1}{2} e^{+j\omega t}$

The spinning red vector is $+\dfrac{1}{2} e^{-j\omega t}$

Cosine is the orange dot, the vector sum of green and red.

Just music, no narration. The background music is *NirvanaVEVO* by Chris Zabriskie.

Animated with d3.js, source code.

Created by Willy McAllister.