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The value of \(\tan\left[2\tan^{-1}\left(\frac{1}{5}\right) - \frac{\pi}{4}\right]\) is

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First simplify \(2\tan^{-1}x\), then apply \(\tan(A-B)\).

Updated On: Apr 16, 2026

\(\frac{17}{7}\)
\(-\frac{17}{7}\)
\(\frac{7}{17}\)
\(-\frac{7}{17}\)

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The Correct Option is D

Solution and Explanation

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The value of \(\tan\left[2\tan^{-1}\left(\frac{1}{5}\right) - \frac{\pi}{4}\right]\) is

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The Correct Option is D

Solution and Explanation

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