de Moivre's formula

Named after Abraham de Moivre (1667–1754), French mathematician.

de Moivre's formula

1. (mathematics) 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, ${\displaystyle {\big (}\cos(x)+i\sin(x){\big )}^{n}=\cos(nx)+i\sin(nx),}$ where i is the imaginary unit.

• de Moivre's identity
• de Moivre's theorem