Home › AP EAPCET (Engineering) › Mathematics › Algebra: De Moivre's Theorem › Find the tenth power of (1 + i√3)/(1 − i√3) in r…
Find the tenth power of (1 + i√3)/(1 − i√3) in rectangular form.
A1/2 + i√3/2
B−1/2 − i√3/2
C1/2 − i√3/2
D−1/2 + i√3/2
Answer & Solution
Correct answer: D. −1/2 + i√3/2
The ratio equals cos 120° + i sin 120°; its 10th power has angle 1200°, which is 120° after removing 1080°.
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