InterviewSolution
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InterviewSolution
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One of the general solutions of `sqrt(3) cos theta -3 sin theta =4 sin 2 theta cos 3 theta` isA. `m pi+pi//18, m in Z`B. `mpi//2 +pi//6, AA m in Z`C. `m pi//3 + pi//18, m in Z`D. none of these |
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Answer» Correct Answer - C We have `sqrt(3) cos theta-3 sin theta=2(sin 5 theta - sin theta)` or `(sqrt(3)//2) cos theta-(1//2) sin theta = sin 5 theta` or `cos (theta+pi//6)= sin 5 theta=cos (pi//2-5 theta)` `rArr theta+pi//6=2n pi pm (pi//2-5 theta), n in Z` `rArr theta=(n pi//3)+(pi//18)` or `theta=(-n pi//2)+(pi//6), AA n in Z` |
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