CUET · MATHS · PYQ PAPER 2023
\(\cos \left(\frac{\pi}{6}-\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)\) is equal to:
- A \(-\frac{\sqrt{3}}{2}\)
- B \(-\frac{1}{\sqrt{2}}\)
- C \(-\frac{1}{2}\)
- D \(+\frac{1}{2}\)
Answer & Solution
Correct Answer
(C) \(-\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\(\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right) = \frac{5\pi}{6}\) \(\cos \left(\frac{\pi}{6}-\frac{5\pi}{6}\right) = \cos \left(-\frac{4\pi}{6}\right)\) \(\cos \left(-\frac{2\pi}{3}\right) = -\frac{1}{2}\)
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