Amazing Trigonometry_4

Geometry Level 4

If α=2π7\alpha = \frac {2\pi}7, find the value of tanαtan2α+tan2αtan4α+tan4αtanα\tan { \alpha } \tan { 2\alpha } + \tan { 2\alpha } \tan { 4\alpha }+ \tan { 4\alpha } \tan { \alpha } .


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