A geometry problem by Vaibhav Prasad

Geometry Level 3

cot4π7cot8π7cot8π7cot12π7cot12π7cot4π7= ?\large \cot { \frac { 4\pi }{ 7 } } \cot { \frac { 8\pi }{ 7 } } -\cot { \frac { 8\pi }{ 7 } } \cot { \frac { 12\pi }{ 7 } } -\cot { \frac { 12\pi }{ 7 } } \cot { \frac { 4\pi }{ 7 } } = \ ?

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