Answer
$44^{\circ}; 316^{\circ}$
Work Step by Step
Using degree mode and inverse cosine function, we get
$\theta=\cos^{-1}0.71933980=44^{\circ}$
Another possible value of $\theta$ can be found by using the identity $\cos(360^{\circ}-x)=\cos x$
$\implies \cos 44^{\circ}=\cos(360-44)^{\circ}=\cos 316^{\circ}$
$\implies\cos^{-1}0.71933980=44^{\circ}$ or $\cos^{-1}0.71933980=316^{\circ}$
