InterviewSolution
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InterviewSolution
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The total number of solutions of `cos x= sqrt(1- sin 2x)` in `[0, 2pi]` is equal toA. 2B. 3C. 5D. none of these |
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Answer» Correct Answer - A `cos x=sqrt(1- sin 2x)=|sin x-cos x|` (a) `sin x lt cos x` `rArr x in [0, pi/4) uu ((5pi)/4, 2pi]` ...(i) Then the given equation is `cos x = cos x - sin x` or `sin x=0` `rArr x=2pi` [ from Eq. (i)] (b) `sin x ge cos x` `rArr x in (pi/4, (5pi)/4)` `rArr cos x=sin x-cos x` or `tan x=2` `rArr x=tan^(1-) 2` ...(ii) Hence, there are two solutions. |
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