Correct Answer - C
`sin theta + sin 3theta sin 2theta = sin alpha`
`rArr 2sin 2theta cos theta + sin 2 theta = sin alpha`
`rArr sin 2th3eta (2cos theta+1) = sin alpha`
Now `cos theta + cos 3thetas + cos 2theta = cos alpha` …(1)
`2cos 2theta cos theta + cos theta + cos 2theta = cos alpha`
`cos 2theta (2cos theta + 1)=cos alpha` ....(2)
F?rom (1) and (2),
`tan 2theta = tan alpha rArr 2theta = alpha rArr theta =alpha//2`