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