A geometry problem by Aakhyat Singh

Geometry Level 4

If \(\tan \left(\frac \pi 4+A\right)+\tan \left(\frac \pi 4-A\right)=a\), then \(\tan^2 \left(\frac \pi 4+A\right)+\tan^2 \left(\frac \pi 4-A\right)=a^2+m\). Find \(m\).

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