JEE Main 202325 Jan, Morning shiftMathematicsMediumTrigonometry118× since 2002If the sum of all the solutions of tan−1(2x1−x2)+cot−1(1−x22x)=π3,−1<x<1,x≠0{\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right) + {\cot ^{ - 1}}\left( {{{1 - {x^2}} \over {2x}}} \right) = {\pi \over 3}, - 1 < x < 1,x \ne 0tan−1(1−x22x)+cot−1(2x1−x2)=3π,−1<x<1,x=0, is α−43\alpha - {4 \over {\sqrt 3 }}α−34, then α\alphaα is equal to _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
