Definition, Meaning & Synonyms
De Moivre's Theorem
Mathematical Theorem
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Definition
De Moivre’s Theorem is a formula that links complex numbers and trigonometry. It states that for any real number θ and integer n, the nth power of a complex number can be expressed in terms of the cosine and sine of θ.
Examples
- Using De Moivre’s Theorem, we can find the cube of a complex number in polar form to simplify calculations.
- De Moivre’s Theorem allows us to express the nth roots of unity easily.
Meaning
The theorem is used to simplify the computation of powers and roots of complex numbers by converting them into a trigonometric form.
Synonyms
- N/A
