Trignometric Horrors I

Geometry Level 3

α\alpha = tan2π7tan4π7+tan4π7tan8π7+tan8π7tan2π7\tan { \frac { 2\pi }{ 7 } } \cdot \tan { \frac { 4\pi }{ 7 } } +\tan { \frac { 4\pi }{ 7 } } \cdot \tan { \frac { 8\pi }{ 7 } } +\tan { \frac { 8\pi }{ 7 } } \cdot \tan { \frac { 2\pi }{ 7 } }

Find the absolute value α\left| \alpha \right| .

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