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Question Number 144589 by ZiYangLee last updated on 26/Jun/21

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}$$$$\underset{k=1}{\sum ^{90}}\sin k°+\underset{k=1}{\sum ^{90}}\cos (90°+k°)$$

Answered by Dwaipayan Shikari last updated on 26/Jun/21

$$\underset{k=1}{\sum ^n}cos(\frac{\pi }{2}+\frac{\pi k}{180})=-\underset{k=1}{\sum ^n}sin\left(\frac{\pi k}{180}\right)$$$$Soitis0$$

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