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The value of x in (0, pi//2) satisfying ...

The value of x in `(0, pi//2)` satisfying `(sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4 sqrt(2)` is

A

`(pi)/12`

B

`(11pi)/36`

C

`(13pi)/36`

D

`(pi)/6`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`((sqrt(3)-1)/(2sqrt(2)))/(sinx)+ (sqrt((3)+1)/(2sqrt(2)))/(cosx)=2`
`implies"sin" (pi)/12. cos x+"cos" (pi)/12 sinx=sin2x`
`impliessin(x+(pi)/12)=sin2x`
`impliesn=(pi)/12` and `(11pi)/36`
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