Evaluate $2 tan^{- 1} \frac{1}{5}$ .

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Text solutionVerified

Now,

2 tan^{- 1} \frac{1}{5}

= tan^{- 1} \frac{\frac{2}{5}}{1 - \frac{1}{25}}

= tan^{- 1} \frac{2 \times 5}{24}

= tan^{- 1} \frac{5}{12}

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