Meaning of de Moivre's theorem in English:

de Moivre's theorem

Pronunciation /də ˈmwɑːvr(ə)/


  • A theorem which states that (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ, where i is the square root of −1.

    • ‘The de Moivre's theorem is used very often in electrical engineering and physics to determine things like the phase shifts of alternating currents.’


Early 18th century named after Abraham de Moivre (1667–1754), French-born mathematician, fellow of the Royal Society.