e^(iπ) + 1 = 0

Euler's Identity — The Most Beautiful Equation

angle t 0.000π

Re = cos(t) 1.0000

Im = sin(t) 0.0000

e^(it) = cos(t) + i·sin(t)
t = π  ⟹  cos(π) = −1
             sin(π) =  0
∴  e^(iπ) = −1
∴  e^(iπ) + 1 = 0  ■

∴ e^(iπ) + 1 = 0 ✓

QED

Π·φ Algorithm Lab

Π·φ Π·φ ALGORITHM LAB