The value of x in `(0,pi/2)` satisfying the equation, `(sqrt3-1)/sin x – InterviewSolution

InterviewSolution

1.	The value of x in `(0,pi/2)` satisfying the equation, `(sqrt3-1)/sin x+ (sqrt3+1)/cosx=4sqrt2` is -A. `pi/12`B. `(5pi)/12`C. `(7pi)/24`D. `(11 pi)/36`
Answer» Correct Answer - A::D `(sqrt(3)-1)/(2sqrt(2) sin x)+(sqrt(3)+1)/(2sqrt(2) cos x)=2` `"sin" pi/12 cos x + "cos" pi/12 sin x= sin 2x` `sin 2x= sin (x+pi/12)` `:. 2x=x+pi/12 or 2x=pi-x- pi/12` `x=pi/12 ot 3x=pi/12` `:. X=pi/12 or (11 pi)/36`

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