MHT CET · Maths · Inverse Trigonometric Functions
The value of \(2 \sin ^{-1}\left(\frac{1}{2}\right)+\cot ^{-1}\left(\frac{1}{\sqrt{3}}\right)\) is
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{2 \pi}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{2 \pi}{3}\)
Step-by-step Solution
Detailed explanation
\(2 \sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)=2 \times \frac{\pi}{6}+\frac{\pi}{3}=\frac{2 \pi}{3}\)
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