Question:medium

If \(\sin^{-1} x + \cot^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{2}\), then value of \(x\) will be

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Use identity: \(\cot^{-1}x = \tan^{-1}(1/x)\) and \(\frac{\pi}{2}-\tan^{-1}x = \tan^{-1}(1/x)\).

Updated On: Apr 16, 2026

0
\(\frac{1}{\sqrt{5}}\)
\(\frac{2}{\sqrt{5}}\)
\(\frac{\sqrt{3}}{2}\)

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The Correct Option is B

Solution and Explanation

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If \(\sin^{-1} x + \cot^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{2}\), then value of \(x\) will be

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The Correct Option is B

Solution and Explanation

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