Math trigonometry
posted by Sneha reddy .
8sin^2theta+10 sin theta cos theta =3cos^2 theta=0 then general solution for theta is

Assuming you meant
8sin^2θ+10 sinθ cosθ+3cos^2θ = 0
(2sinθ+cosθ)(4sinθ+3cosθ) = 0
see what you can do with that.