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MathsJEE Main 5 Apr 2026, Shift 1·Q24·Numerical·Moderate

Inverse Trigonometry · Telescoping inverse tangent sum

If π4+∑p=111tan⁡−1(2p−11+22p−1)=α\dfrac{\pi}{4} + \displaystyle\sum_{p=1}^{11}\tan^{-1}\left(\frac{2^{p-1}}{1 + 2^{2p-1}}\right) = \alpha, then tan⁡α\tan\alpha is equal to .

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