trigonometry

Question: The sum $S=\sin \theta +\sin 2\,\theta +....+\sin \,n\theta ,$ equals



1) $\sin \frac{1}{2}(n+1)\text{ }\theta \sin \frac{1}{2}n\text{ }\theta /\sin \frac{\theta }{2}$
2) $\cos \frac{1}{2}(n+1)\text{ }\theta \sin \frac{1}{2}n\theta /\sin \frac{\theta }{2}$
3) $\sin \frac{1}{2}(n+1)\theta \cos \frac{1}{2}n\theta /\sin \frac{\theta }{2}$
4) $\cos \frac{1}{2}(n+1)\theta \cos \frac{1}{2}n\theta /\sin \frac{\theta }{2}$
Solution: Explanation: No Solution
Trigonometric ratios of sum and difference of two and three

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