Deriving my favorite equation - Euler's Formula

We derive Euler's formula using Taylor series:

e^ix = cos(x) + i sin (x)

in order to show my favorite equation:

e^(i * pi) + 1 = 0 .

We then show that trig functions (sine and cosine) are exchangeable with complex exponentials and show an example with solving for a mass on a spring.

#BiscuitPhysics #Math #Euler