Exercise 42

\(\sin(\tan^{-1}x), |x| < 1\) is equal to: (A) \(\frac{x}{\sqrt{1-x^2}}\) (B) \(\frac{1}{\sqrt{1-x^2}}\) (C) \(\frac{1}{\sqrt{1+x^2}}\) (D) \(\frac{x}{\sqrt{1+x^2}}\)