JEE Math Practice Question

Let $$S = \left\{ {\theta \in [ - \pi ,\pi ] - \left\{ { \pm \,\,{\pi \over 2}} \right\}:\sin \theta \tan \theta + \tan \theta = \sin 2\theta } \right\}$$. If $$T = \sum\limits_{\theta \, \in \,S}^{} {\cos 2\theta } $$, then T + n(S) is equal to :

1. A.7 + $$\sqrt 3 $$
2. B.9
3. C.8 + $$\sqrt 3 $$
4. D.10