De Moivre's Theorem is a mathematical formula that is widely used in complex number theory. The theorem helps to elevate numbers to a power with exponential and trigonometric functions. In the field of mathematics, some synonyms for this theorem are De Moivre's formula, Moivre's formula, and De Moivre's identity. These synonyms help mathematicians to communicate and understand the formula easily without any confusion. De Moivre's identity is also known as the n-th power formula and is often used in the simplification of trigonometric expressions. Moivre's theorem is the fundamental basis of many mathematical concepts, including the roots of complex numbers and probability distributions, making it a vital theorem in mathematics.