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GUJCET · Maths · Inverse Trigonometric Functions
\(\sin ^{-1}\left(\sin \frac{3 \pi}{5}\right)=\) ___________.
- A \(\frac{2\pi}{5}\)
- B \(\frac{\pi}{5}\)
- C \(\frac{3\pi}{5}\)
- D \(\frac{4\pi}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{2\pi}{5}\)
Step-by-step Solution
Detailed explanation
\(\sin ^{-1}\left(\sin \frac{3 \pi}{5}\right) = \sin ^{-1}\left(\sin \left(\pi - \frac{3 \pi}{5}\right)\right)\) \(= \sin ^{-1}\left(\sin \frac{2 \pi}{5}\right)\)
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