Question

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

• A. \(\sqrt{ab}=cos(\alpha+\beta)-isin(\alpha+\beta)\)
• B. \(\sqrt{ab}=cos(\alpha+\beta)+isin(\alpha+\beta)\)
• C. \(\sqrt{ab}=sin(\alpha+\beta)+icos(\alpha+\beta)\)
• D. \(\sqrt{ab}=sin(\alpha+\beta)-icos(\alpha+\beta)\)

Answer 1

The Correct Option is B

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