A) \[\sin \left[ \frac{n(n+1)\theta }{2} \right]\]
B) \[\frac{\sin \left[ \frac{(n+1)}{2}\theta \right]\sin \theta }{\sin \left( \frac{\theta }{2} \right)}\]
C) \[\frac{\sin \left[ \frac{(n+1)}{2}\theta \right]\sin \left( \frac{n\theta }{2} \right)}{\sin \left( \frac{\theta }{2} \right)}\]
D) \[\frac{\sin \left[ \frac{(n+1)}{2}\theta \right]{{\sin }^{n}}\left( \frac{\theta }{2} \right)}{\sin \left( \frac{\theta }{2} \right)}\]
Correct Answer: C
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