Complex Numbers: De Moivre MCQ

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De MoivreMediumQuestion 230009

Question

Using De Moivre's theorem, (cos 60° + i sin 60°)³ equals:

−1

By De Moivre: (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ. Here: cos 180° + i sin 180° = −1 + 0i = −1.