InterviewSolution
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InterviewSolution
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The number of solution of `sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0` in `0 le x le 3 pi` isA. 3B. 4C. 5D. 6 |
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Answer» Correct Answer - B `sin^(4) x-cos^(2) x sin x+ 2 sin^(2) x+ sin x=0` or `sin x [sin^(3) x-cos^(2) x+2 sin x+1]=0` or `sin x [sin^(3) x-1+sin^(2) x+2 sin x+1]=0` or `sin x [sin^(3)x+sin^(2) x+2 sin x]=0` or `sin^(2) x=0 or sin^(2) x+sin x+2=0` (not possible for real x) or `sin x=0` Hence, the solutions are `x=0, pi, 2pi, 3pi`. |
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