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For any integer n, (cos θ + i sin θ)ⁿ is equal to which expression?

Acos nθ + i sin nθ
Bcos θⁿ + i sin θⁿ
Cn cos θ + i n sin θ
Dcos(θ/n) + i sin(θ/n)
Answer & Solution
Correct answer: A. cos nθ + i sin nθ
De Moivre's theorem multiplies the angle by n while the unit modulus stays the same.
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