Know Some Trigonometry

Geometry Level 4

Find the value of \[\left(\sum_{n=1}^{3} \tan^2 \left(\dfrac{n\pi}{7}\right)\right)\left(\sum_{n=1}^{3} \cot^2 \left(\dfrac{n\pi}{7}\right)\right)\]

\(\textbf{Note : You may not use wolfram alpha}\)

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