Use de Moivre's Theorem to find the following. Write your answer in standard form.[2(cos 20° + i sin 20°)]3
Question
Solution 1
De Moivre's Theorem states that for any real number x and integer n, [cos(x) + i sin(x)]^n = cos(nx) + i sin(nx).
We can apply this theorem to the given problem as follows:
Given: [2(cos 20° + i sin 20°)]^3
Step 1: Apply De Moivre's Theorem = 2^3 [cos(320°) + i sin(320°)] = 8 [cos(60°) + i sin Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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