InterviewSolution
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InterviewSolution
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Number of solutions of the equation `sin x + cos x-2sqrt(2) sin x cos x=0` for `x in [0, pi]` isA. 3B. 0C. 1D. 2 |
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Answer» Correct Answer - D `sin x + cos x - 2 sqrt(2) sin x cos x=0` `rArr sin x+cos x=2sqrt(2) sin x cos x` `rArr 1+sin 2x=2 sin^(2) 2x` `rArr 2 sin^(@) 2x- sin 2x-1=0` `rArr (2 sin 2x+1) (sin 2x-1)=0` `rArr sin 2x=-1//2 or sin 2x=1` `rArr 2x=11 pi//6, pi//2` `rArr x=11pi//12, pi//4` |
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