Which of the following is a fourth root of 1 2 + i 3 2 ?
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Which of the following is a fourth root of \(\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2} ?\)
- \(\operatorname{cis} \frac{\pi}{12}\)
- \(\operatorname{cis} \frac{\pi}{2}\)
- \(\operatorname{cis} \frac{\pi}{6}\)
- \(\operatorname{cis} \frac{\pi}{3}\)
Answer
(A) cis 12
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