Answer
$$\tan \theta = 1$$
Work Step by Step
$$\eqalign{
& y = x \cr
& {\text{Use }}r\sin \theta = y{\text{ and }}r\cos \theta = x,{\text{ then}} \cr
& r\sin \theta = r\cos \theta \cr
& \sin \theta = \cos \theta \cr
& {\text{Divide both sides by cos}}\theta \cr
& \frac{{\sin \theta }}{{\cos \theta }} = \frac{{\cos \theta }}{{\cos \theta }} \cr
& \tan \theta = 1 \cr} $$