ABSTRACT
This chapter describes De Moivre's theorem. It presents complex numbers of calculate powers, calculate roots and state the exponential form. The chapter discusses convert Cartesian/polar form into exponential form and vice-versa and determines loci in the complex plane. De Moivre's theorem has several uses, including finding powers and roots of complex numbers, solving polynomial equations, calculating trigonometric identities, and for evaluating the sums of trigonometric series. The theorem is also used to calculate exponential and logarithmic functions of complex numbers. De Moivre's theorem has applications in electrical engineering and physics. There are many, many examples of the use of complex numbers in engineering and science.
