MHT CET · Maths · Inverse Trigonometric Functions
\(\sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\cot ^{-1}\left(-\frac{1}{\sqrt{3}}\right)=\)
- A \(\frac{2 \pi}{3}\)
- B \(\mathrm{\pi}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{3}\)
Answer & Solution
Correct Answer
(B) \(\mathrm{\pi}\)
Step-by-step Solution
Detailed explanation
\(\sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\cot ^{-1}\left(\frac{-1}{\sqrt{3}}\right)\)
\(=30^{\circ}+30^{\circ}+120^{\circ}\)
\(=\pi\)
\(=30^{\circ}+30^{\circ}+120^{\circ}\)
\(=\pi\)
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