`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. `(1-2sqrt(6))/(6)`
D. `(sqrt(3)-2sqrt(2))/( 6)`
