Definition of de Moivre's theorem in English:

Share this entry

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.
Example sentences
  • 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.

For editors and proofreaders

Line breaks: de Moivre's the|orem

Share this entry

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.