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Question Number 184944 by SANOGO last updated on 14/Jan/23

$$pleaseyouhelpme$$$$\underset{k=0}{\sum ^n}sin\left(k\right)=??$$

Answered by JDamian last updated on 15/Jan/23

$$hint:\sin \left(x\right)=\frac{e^{xi}-e^{-xi}}{2i}$$$$$$$$S=\underset{k=0}{\sum ^n}\sin \left(k\right)=\frac{1}{2i}(\underset{k=0}{\sum ^n}{e}^{ki}-\underset{k=0}{\sum ^n}{e}^{-ki})$$

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