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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Inverse Trigonometric Functions

NDA 2021 · Mathematics · Inverse Trigonometric Functions

^ -1 x+ ^ -1 x=(π)/(2) holds, when

tan⁡−1x+cot⁡−1x=π2\tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2} holds, when

Options

  1. Ax∈Rx \in \mathbb{R}
  2. Bx∈R−(−1,1)x \in \mathbb{R} - (-1,1) only
  3. Cx∈R−{0}x \in \mathbb{R}-\{0\} only
  4. Dx∈R−[−1,1]x \in \mathbb{R} - [-1,1] only

Correct answer

A. x∈Rx \in \mathbb{R}

Step-by-step solution

tan⁡−1(x)+cot⁡−1(x)=π2\tan ^{-1}(x)+\cot ^{-1}(x)=\frac{\pi}{2} This hold for all x∈Rx \in \mathbb{R}.
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