InterviewSolution
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InterviewSolution
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Number of roots of `cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0`which lie in the interval `[-pi,pi]`is2 (b) 4(c) 6 (d)8A. 2B. 4C. 6D. 8 |
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Answer» Correct Answer - B `1- sin^(2) x+ (sqrt(3)+1)/2 sin x -sqrt(3)/4-1=0` or `sin^(2) x-(sqrt(3)+1)/2 sin x + sqrt(3)/4=0` or `4 sin^(2) x-2 sqrt*3) sin x -2 sin x + sqrt(3)=0` On solving, we get `sin x=1//2, sqrt(3)//2` `rArr x=pi//6, 5 pi//6, pi//3, 2 pi//3` |
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