JEE Main 202224 Jun, Morning shiftMathematicsHardTrigonometry118× since 2002The set of all values of k for which (tan−1x)3+(cot−1x)3=kπ3, x∈R{({\tan ^{ - 1}}x)^3} + {({\cot ^{ - 1}}x)^3} = k{\pi ^3},\,x \in R(tan−1x)3+(cot−1x)3=kπ3,x∈R, is the interval :AOption A. [132,78)\left[ {{1 \over {32}},{7 \over 8}} \right)[321,87)BOption B. (124,1316)\left( {{1 \over {24}},{{13} \over {16}}} \right)(241,1613)COption C. [148,1316]\left[ {{1 \over {48}},{{13} \over {16}}} \right][481,1613]DOption D. [132,98)\left[ {{1 \over {32}},{9 \over 8}} \right)[321,89)CheckSkip · show solution
