How do you use de Moivre’s Theorem?

How do you do de moivre’s theorem?

For any complex number x and any integer n, ( r ( cos ⁡ θ + i sin ⁡ θ ) ) n = r n ( cos ⁡ ( n θ ) + i sin ⁡ ( n θ ) ) .

Why do we use de Moivre’s theorem?

De Moivre’s Theorem states that the power of a complex number in polar form is equal to raising the modulus to the same power and multiplying the argument by the same power. This theorem helps us find the power and roots of complex numbers easily.

How do you use de Moivre’s theorem to prove?

Video quote: When you have Z to the power of n. Ok and that is a complex number which is R cosine theta plus J sine theta. The whole thing to the power of n.