Find a particular solution satisfying the given condition$\large\frac{dy}{dx}$$+2y\tan x=\sin x;\;y=o\;when\;x=\large\frac{\pi}{3}$

Question

$\begin{array}{1 1}(A)\;y = \cos x - 2\cos^2x \\ (B)\;y = \cos x + 2\cos^2x \\ (C)y = \sin x - 2\cos^2x \\(D)\;y = \cos x - 2\sin^2x \end{array}$