Evaluate : \(\cos^{-1}\left(\dfrac{1}{2}\right) + 2\sin^{-1}\left(\dfrac{1}{2}\right)\)
Q.2 (ii) Evaluate : \(\cos^{-1}\left(\dfrac{1}{2}\right) + 2\sin^{-1}\left(\dfrac{1}{2}\right)\)
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Answer: \(\dfrac{2\pi}{3}\)
\(\cos^{-1}\dfrac{1}{2} = \dfrac{\pi}{3}\) and \(\sin^{-1}\dfrac{1}{2} = \dfrac{\pi}{6}\), so the value is \(\dfrac{\pi}{3} + 2\cdot\dfrac{\pi}{6} = \dfrac{2\pi}{3}\).
Doubtly AI
· 28 Oct 2026
AI-verified · Oct 2026
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