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