In mathematics, de Moivre's formula states that for any real number x and integer n it holds that n = cos ⁡ n x + i sin ⁡ n x, {\displaystyle {\big }^{n}=\cos nx+i\sin nx,} where i is the imaginary unit. Wikipedia

A trigonometric identity Wikipedia Disambiguation

Theorem Wikidata

A formula that connects trigonometry and complex numbers, stating that, for any complex number (and, in particular, for any real number) x and integer n, ( cos ⁡ ( x ) + i sin ⁡ ( x ) ) n = cos ⁡ ( n x ) + i sin ⁡ ( n x ) , where i is the imaginary unit. Wiktionary