Tricky Tangent Trigo

Geometry Level 3

What is the value of

tanπ25×tan2π25×tan3π25××tan12π25? \tan \frac{ \pi } { 25} \times \tan \frac{ 2 \pi } { 25} \times \tan \frac{ 3 \pi } { 25} \times \ldots \times \tan \frac{12 \pi } { 25 } ?


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