#### Answer

$0.3887$

#### Work Step by Step

$\sec s=\frac{1}{\cos s}=1.0806$
$\frac{1}{\cos s}=1.0806$ can be rearranged to $\cos s=\frac{1}{1.0806}$
$\cos s=\frac{1}{1.0806}$ is further rearranged to $s=\cos^{-1} \frac{1}{1.0806}$
Ensuring that the calculator is in radians, we type $\cos^{-1} \frac{1}{1.0806}$ into the calculator and solve:
$s=\cos^{-1} \frac{1}{1.0806}\approx0.3887$