The Euler formula expresses the exponential of an imaginary number as e^(i x) = cos(x) + i sin(x).

Euler's equation | Euler's identity

formulation date | ≈ 1740 (≈ 286 years ago) formulator | Leonhard Euler status | proved proof date | 1748 (278 years ago) prover | Leonhard Euler

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

mathematical formulas | mathematical identities | solved mathematics problems | mathematics theorems