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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
Find the principal values of: $\cot ^{-1}(1)$
  • A
    $\frac{\pi}{3}$
  • ✓
    $\frac{\pi}{4}$
  • C
    $\frac{\pi}{2}$
  • D
    0
✓

Answer

Correct option: B.
$\frac{\pi}{4}$
(b) : Let $\cot ^{-1}(1)=\theta \Rightarrow \cot \theta=1=\cot \frac{\pi}{4}$
$\Rightarrow \theta=\frac{\pi}{4} \in(0, \pi)$
$\therefore$ Principal value of $\cot ^{-1}(1)$ is $\frac{\pi}{4}$.

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