Let \( S=\left\{\theta \in[-\pi, \pi]-\left\{ \pm \frac{\pi}{2}\right\}: \sin \theta \tan \theta...
Let \( S=\left\{\theta \in[-\pi, \pi]-\left\{ \pm \frac{\pi}{2}\right\}: \sin \theta \tan \theta+\tan \theta=\sin 2 \theta\right\} \). If
- \( T=\sum_{\theta \in S} \cos 2 \theta \), then \( T+n(S) \) is equal
(a) \( 7+\sqrt{3} \)
(b) 9
(c) \( 8+\sqrt{3} \)
(d) 10
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