Which of the following is a fourth root of 1 2 + i 3 2 ?

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

Which of the following is a fourth root of \(\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2} ?\)
  1. \(\operatorname{cis} \frac{\pi}{12}\)
  2. \(\operatorname{cis} \frac{\pi}{2}\)
  3. \(\operatorname{cis} \frac{\pi}{6}\)
  4. \(\operatorname{cis} \frac{\pi}{3}\)

Answer

(A) cis 12

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