Loading Discussion on question by Sillyasker: Prove that the average of the numbers $n\sin(n^{\circ}),n=2^{\circ},4^{\circ},6^{\circ},\ldots,180^{\circ}$ is $\cot(1)$.
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Discussion on question by Sillyasker: Prove that the average of the numbers $n\sin(n^{\circ}),n=2^{\circ},4^{\circ},6^{\circ},\ldots,180^{\circ}$ is $\cot(1)$.

Imported from a comment discussion on math.stackexchange.com/questions/4917599/…

complex-numbers trigonometry

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Discussion on question by Sillyasker: Prove that the average of the numbers $n\sin(n^{\circ}),n=2^{\circ},4^{\circ},6^{\circ},\ldots,180^{\circ}$ is $\cot(1)$.