CUET · MATHS · PYQ PAPER 2023
The principal value of \(\cot ^{-1}\left(-\frac{1}{\sqrt{3}}\right)\) is
- A \(\frac{\pi}{3}\)
- B \(-\frac{\pi}{6}\)
- C \(\frac{1}{\sqrt{3}}\)
- D \(\frac{2 \pi}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{2 \pi}{3}\)
Step-by-step Solution
Detailed explanation
\(\cot^{-1}\left(-\frac{1}{\sqrt{3}}\right) = \pi - \cot^{-1}\left(\frac{1}{\sqrt{3}}\right)\) \(= \pi - \frac{\pi}{3}\) \(= \frac{2\pi}{3}\)
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