ctg(п/7)+ctg(3п/4)+ctg(6п/7). Created by Qle. algebra-ru

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ctg(п/7)+ctg(3п/4)+ctg(6п/7)

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Freakazoid

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$ctg\frac{\pi}{7}+ctg\frac{3\pi}{4}+ctg\frac{6\pi}{7}=ctg\frac{\pi}{7}+ctg(\pi-\frac{\pi}{4})+ctg(\pi-\frac{\pi}{7})=\\ctg\frac{\pi}{7}-ctg\frac{\pi}{4}-ctg\frac{\pi}{7}=-ctg\frac{\pi}{4}=-1.$

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