Question

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

• A. (\frac{5}{4})
• B. (\frac{5}{16})
• C. (\frac{-7}{17})
• D. [suspicious link removed]

Hint:

$2 \tan^{-1} x = \tan^{-1}\left(\frac{2x}{1-x^2}\right)$ for $|x| < 1$.

Answer 1

The Correct Option is C