Advanced Search
Reader Bar Color:
User Guides
Reading Tools


De Moivre’s Theorem

Raising numbers to powers as well as extracting their roots are fundamental operations in the set of complex numbers. De Moivre's theorem provides us with a general method for these operations. Here is the theorem:

If z = r [(cos a) + i (sin a)] is a complex number in polar form

then for a positive integer n, zn = rn [(cos na) + i (sin na)]