InterviewSolution
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InterviewSolution
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If `x+y=2pi//3` and `sin x//sin y=2`, then theA. number of values of `x in [0, 4pi]` are 4B. number of values of `x in [0, 4pi]` are 2C. number of values of `y in [0, 4pi]` are 4D. number of values of `y in [0, 4pi]` are 8 |
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Answer» Correct Answer - A::C `x+y=2pi//3` or `y=(2pi//3)-x` `:. sin x=2 sin ((2pi)/3-x)` `=2[(sqrt(3)/2)cos x+(1/2) sin x]` `=sqrt(3) cos x + sin x` `rArr cos x =0` `rArr x=npi+pi/2, n in Z` `rArr y=(2pi)/3- n pi-pi/2=pi/6-n pi` Hence, for `x in [0, 4pi], x=pi//2, 3pi//2, 5pi//2, 7pi//2` and for `y in [0, 4pi], y=pi//6, 7pi//6, 13pi//6, 19pi//6` |
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