De Moivre’s Theorem

De Moivre's Theorem is a relatively simple formula for calculating powers of complex numbers.

De Moivre's formula states that for any real number x and any integer n, (cosx + isinx)ⁿ = cos(nx) + isin(nx).

Often abbreviated to:

If n is any integer then

(r cisθ)ⁿ = rⁿ cis(nθ)