CUET · MATHS · PYQ PAPER 2023
The value of \(\tan ^{-1}\left(\tan \frac{3 \pi}{4}\right)+2 \cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)\) is:
- A \(17 \frac{\pi}{12}\)
- B \(37 \frac{\pi}{12}\)
- C \(-25 \frac{\pi}{12}\)
- D \(-31 \frac{\pi}{12}\)
Answer & Solution
Correct Answer
(A) \(17 \frac{\pi}{12}\)
Step-by-step Solution
Detailed explanation
\( \tan^{-1}\left(\tan \frac{3 \pi}{4}\right) = \tan^{-1}(-1) = -\frac{\pi}{4} \) \( \cos^{-1}\left(\cos \frac{7 \pi}{6}\right) = \cos^{-1}\left(\cos \left(2\pi - \frac{7 \pi}{6}\right)\right) = \cos^{-1}\left(\cos \frac{5 \pi}{6}\right) = \frac{5 \pi}{6} \)…
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