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Home › AP EAPCET (Engineering) › Mathematics › Algebra: De Moivre's Theorem › Which number satisfies the equation z^6 = 1?

Which number satisfies the equation z^6 = 1?

A(√3 + i)/2
B(1 + i)/√2
C(−1 − i)/√2
D(1 + i√3)/2
Answer & Solution
Correct answer: D. (1 + i√3)/2
(1 + i√3)/2 = cos 60° + i sin 60°, and its sixth power has angle 360°, giving 1.
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