Question:

If a=cos2α+isin2α and b=cos2β+isin2β then _______

Updated On: Mar 21, 2024
  • \(\sqrt{ab}=cos(\alpha+\beta)-isin(\alpha+\beta)\)
  • \(\sqrt{ab}=cos(\alpha+\beta)+isin(\alpha+\beta)\)
  • \(\sqrt{ab}=sin(\alpha+\beta)+icos(\alpha+\beta)\)
  • \(\sqrt{ab}=sin(\alpha+\beta)-icos(\alpha+\beta)\)
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The Correct Option is B

Solution and Explanation

The correct answer is(B): \(\sqrt{ab}=cos(\alpha+\beta)+isin(\alpha+\beta)\)
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