CUET · MATHS · PYQ PAPER 2023
The value of \(\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)\) is:
- A \(\frac{7 \pi}{6}\)
- B \(\frac{5 \pi}{6}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{5 \pi}{6}\)
Step-by-step Solution
Detailed explanation
\(\cos \frac{7 \pi}{6} = \cos \left(\pi + \frac{\pi}{6}\right) = -\cos \frac{\pi}{6}\) \(\cos ^{-1}\left(-\cos \frac{\pi}{6}\right) = \cos ^{-1}\left(\cos \left(\pi - \frac{\pi}{6}\right)\right)\) \(\cos ^{-1}\left(\cos \frac{5 \pi}{6}\right) = \frac{5 \pi}{6}\)
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