Answer
$\theta = 45^{\circ}, 225^{\circ}, 0^{\circ}, 360^{\circ}$
Work Step by Step
$(tan \theta -1)(\cos \theta -1) = 0$
$\tan \theta - 1 = 0$
$\tan \theta = 1$
$\theta = 45^{\circ}, 225^{\circ}$
$\cos \theta - 1 = 0$
$\cos \theta = 1$
$\theta = 0^{\circ}, 360^{\circ}$
Therefore, $\theta = 45^{\circ}, 225^{\circ}, 0^{\circ}, 360^{\circ}$
