The Magic of DeMoivre’s Theorem

A mathematical gift that keeps on giving

DeMoivre’s Theorem (written above) is a simple theorem relating complex numbers to trigonometry. It was proposed and proved for all positive integers n by Abraham DeMoivre (1667–1754), a French mathematician who was a religious exile in England from a young age and a friend of such greats as Isaac Newton and Edmond Halley.