JEE Main 20265 Apr, Morning shiftMathematicsMediumTrigonometry118× since 2002If π4+∑p=111tan−1(2p−11+22p−1)=α\displaystyle\frac{\pi}{4} + \sum_{p=1}^{11}\tan^{-1}\left(\frac{2^{p-1}}{1+2^{2p-1}}\right) = \alpha4π+p=1∑11tan−1(1+22p−12p−1)=α, then tanα\tan\alphatanα is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
