Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q8
The set of all values of k for which ( tan^-1 x)^3+( cot^-1 x)^3= k π^3, x ∈ R, is the interval:
The set of all values of k for which $\displaystyle \left(\tan ^{-1} x\right)^3+\left(\cot ^{-1} x\right)^3=\mathrm{k} \pi^3, x \in \mathbf{R}$, is the interval :
Official answer
(1)
$\displaystyle \left[\frac{1}{32}, \frac{7}{8}\right)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.