Answer
$\dfrac{1}{4}$
Work Step by Step
Value of certain composite functions formula:
$f(f^{-1}(x)) = \sin{(\sin^{-1}{x}})= x \hspace{25pt} -1 \leq x \leq 1$
$\therefore \sin{\left(\sin^{-1}{\left(\dfrac{1}{4}\right)} \right)} = \boxed{\dfrac{1}{4}}$
