Answer
$0.9682458366$
Work Step by Step
To find $\sin(\cos^{-1} 0.25)$, we first need to find $\cos^{-1} 0.25$.
Ensuring that the calculator is in radians, we type $\cos^{-1} 0.25$ into the calculator and solve:
$\cos^{-1} 0.25\approx1.318116072$
$\sin(\cos^{-1} 0.25)$ now becomes $\sin (1.318116072)$. Typing $\sin (1.318116072)$ into the calculator and solving:
$\sin (1.318116072)\approx0.9682458366$
Therefore, $\cos(\tan^{-1} 0.5)\approx0.9682458366$