Q181 / 270 · NDA 2021 (Phase 1) · Mathematics

$\tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}$ holds, when

  • Correct answer
    A
    $x \in R$
  • B
    $x \in R-(-1,1)$ only
  • C
    $x \in R-\{0\}$ only
  • D
    $x \in R-[-1,1]$ only

Solution

$\tan ^{-1}(x)+\cot ^{-1}(x)=\frac{\pi}{2}$ This hold for all $x \in R$.

Hence, the correct answer is option: 'A'.

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