Correct Answer - A
`(sqrt(3)-1) sin theta+(sqrt(3)+1) cos theta=2`
or `((sqrt(3)-1))/(2sqrt(2)) sin theta+ ((sqrt(3)+1)/(2sqrt(2))) cos theta=1/sqrt(2)`
or `"sin" pi/12 sin theta+"cos"pi/12 cos theta= "cos"pi/4`
or `cos(theta-pi/12)="cos" pi/4`
`rArr theta-pi/12=2npi pm pi/4, n in Z`
or `theta=2npi pm pi/4+ pi/12, n in Z`