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MTH 101 MTH 101 Past Questions Objective Question
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Question

Which of the following best describes the De Moivre's theorem of complex numbers where n is a positive integer?
Options
A \(z = r(\cos\theta + i\sin\theta)\)
B \(z^n = r^n(\cos n\theta + i\sin n\theta)\)
Correct Answer
C \(z^n = r^n(\cos\theta + i\sin\theta)\)
D \(z = r^n(\cos n\theta + i\sin n\theta)\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

De Moivre's Theorem states that for a complex number in polar form, (r(cosθ + i sinθ))ⁿ = rⁿ(cos(nθ) + i sin(nθ)).

Hint

Recall the standard statement of De Moivre's Theorem.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 652 of 696
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