De Moivre's formula

English

Etymology

Named after Template:W (1667–1754), French mathematician.

Proper noun

1. Template:Lb 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, $(\cos (x)+i\sin (x){)}^n=\cos (nx)+i\sin (nx),$ where i is the imaginary unit.

Synonyms

• Template:L
• Template:L