# Euler's sine

### Euler’s formula for sine

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

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

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

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

Sine is the yellow dot, the vector sum of green and pink.

Just music, no narration. The background music is *Book Bag* by E’s Jammy Jams.

Animated with d3.js, source code.

Created by Willy McAllister.