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alpha is a root of equation ( 2 sin x -...

`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 `
`sin (alpha - beta )` is equal to

A

1

B

0

C

`(1-sqrt(6))/(6)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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