CUET · MATHS · PYQ PAPER 2025
The value of \(\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)+\sin ^{-1}\left(\frac{1}{2}\right)\) is:
- A \(\frac{5 \pi}{4}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{ 5 \pi }{ 1 2 }\)
- D \(\frac{7 \pi}{12}\)
Answer & Solution
Correct Answer
(A) \(\frac{5 \pi}{4}\)
Step-by-step Solution
Detailed explanation
\(\tan ^{-1}(1) = \frac{\pi}{4}\) \(\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right) = \frac{5\pi}{6}\) \(\sin ^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{6}\) \(\frac{\pi}{4} + \frac{5\pi}{6} + \frac{\pi}{6} = \frac{\pi}{4} + \frac{6\pi}{6}\) \(= \frac{\pi}{4} + \pi\)…
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