De Moivre’s Theorem Statement
De Moivre’s Theorem is a special theorem of complex numbers which is used to expand the complex number raised to any integer. De Moivre’s Formula states that for all real values of x,
(cos x + i.sinx)n = cos(nx) + i.sin(nx)
where, n is any integer
DeMoivre’s Theorem
De Moivre’s theorem is one of the fundamental theorem of complex numbers which is used to solve various problems of complex numbers. This theorem is also widely used for solving trigonometric functions of multiple angles. DeMoivre’s Theorem is also called “De Moivre’s Identity” and “De Moivre’s Formula”. This theorem gets its name from the name of its founder the famous mathematician De Moivre.
In this article, we will learn about De Moivre’s Theorem, its proof, some examples based on the theorem, and others in detail.
Table of Content
- De Moivre’s Theorem Statement
- De Moivre’s Formula
- De Moivre’s Theorem Proof
- Uses of De Moivre’s Theorem
- Finding the Roots of Complex Numbers
- Power of Complex Numbers
- Solved Examples on De Moivre’s Theorem
- FAQs