Answer
$0.894427191$
Work Step by Step
To find $\cos(\tan^{-1} 0.5)$, we first need to find $\tan^{-1} 0.5$.
Ensuring that the calculator is in radians, we type $\tan^{-1} 0.5$ into the calculator and solve:
$\tan^{-1} 0.5\approx0.463647609$
$\cos(\tan^{-1} 0.5)$ now becomes $\cos (0.463647609)$. Typing $\cos (0.463647609)$ into the calculator and solving:
$\cos (0.463647609)\approx0.894427191$
Therefore, $\cos(\tan^{-1} 0.5)\approx0.894427191$
