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Problem The value of the expression tan π 7 + 2 tan 2 π 7 + 4 tan 4 π 7 + 8 cot 8 π 7 \tan\frac{\pi}{7}+2\tan\frac{2\pi}{7}+4\tan\frac{4\pi}{7}+8\cot\frac{8\pi}{7} tan 7 π + 2 tan 7 2 π + 4 tan 7 4 π + 8 cot 7 8 π csc 2 π 7 + cot 2 π 7 \csc\frac{2\pi}{7}+\cot\frac{2\pi}{7} csc 7 2 π + cot 7 2 π tan π 14 − cot π 14 \tan\frac{\pi}{14}-\cot\frac{\pi}{14} tan 14 π − cot 14 π sin 2 π 7 1 − cos 2 π 7 \frac{\sin\frac{2\pi}{7}}{1-\cos\frac{2\pi}{7}} 1 − c o s 7 2 π s i n 7 2 π 1 + cos π 7 + cos 2 π 7 sin π 7 + sin 2 π 7 \frac{1+\cos\frac{\pi}{7}+\cos\frac{2\pi}{7}}{\sin\frac{\pi}{7}+\sin\frac{2\pi}{7}} s i n 7 π + s i n 7 2 π 1 + c o s 7 π + c o s 7 2 π Browse the problem library