English Explanatory Dictionary

de Moivre's formula

English dictionary entry

Meanings

name
  1. 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, big ( cos (x)+i sin (x) big )ⁿ= cos (nx)+i sin (nx), where i is the imaginary unit.

Word forms

de Moivre's formula

Etymology

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

Synonyms

de Moivre's identity de Moivre's theorem
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