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`alpha ` is a root of equation `( 2 sin x - cos x ) (1+ cos x)=sin^2 x , beta ` is a root of the equation ` 3 cos 2x - 10 cos x +3 =0 and gamma ` is a root of the equation `1-sin2 x = cos x- sin x : 0 le alpha , beta, gamma , le pi//2 `
` cos alpha + cos beta + cos gamma ` can be equal to

A

`(3sqrt(6)+2sqrt(2)+6)/(6sqrt(2))`

B

`(3sqrt(3)+8)/(6)`

C

`(3sqrt(3)+2)/(6)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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