JEE Math Practice Question
The set of all values of k for which $${({\tan ^{ - 1}}x)^3} + {({\cot ^{ - 1}}x)^3} = k{\pi ^3},\,x \in R$$, is the interval :
- A.$$\left[ {{1 \over {32}},{7 \over 8}} \right)$$
- B.$$\left( {{1 \over {24}},{{13} \over {16}}} \right)$$
- C.$$\left[ {{1 \over {48}},{{13} \over {16}}} \right]$$
- D.$$\left[ {{1 \over {32}},{9 \over 8}} \right)$$
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