de Moivre's formula

English

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

de Moivre's formula

(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.

单词	de Moivre's formula
释义	de Moivre's formula English Etymology Named after Abraham de Moivre (1667–1754), French mathematician. Proper noun de Moivre's formula (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. Synonyms de Moivre's identity de Moivre's theorem
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