`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 + sin beta + sin gamma ` can be equal to
A. `(14-3sqrt(2))/( 6 sqrt(2))`
B. `5//6`
C. `(3+4sqrt(2))/(6)`
D. `(1+sqrt(2))/(2) `
