InterviewSolution
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InterviewSolution
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Which of the following set of values of x satisfies the equation `2^((2 sin^(2) x-3sinx +1))+2^((2-2 sin^(2)x+3 sin x))=9` ?A. `x=n pi pm pi/6, n in I`B. `x= n pi pm pi/3, n in I`C. `x=n pi, n in I`D. `x=2n pi +pi/2, n in I` |
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Answer» Correct Answer - A::D `2^((2sin^(2)x-3 sin x+1))+2^(3-(2 sin^(2)x-3 sin x+1))=9` Let `2^((2 sin^(2)x-3 sin x+1))=t` `rArr t+8/t=9` or `t^(2) -9t+8=0` or `t=1, 8` `rArr 2 sin^(2) x-3 sin x+1=3` or `2 sin^(2) x-3 sin x+1=0` `rArr sin x = -1/2, sin x = 1/2, sin x =1` |
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