Intersecting Polar Functions

In the polar coordinate system, two points are taken to be the same if they have same parameters, which are $r$ , the distance of the point from the origin and $\theta \in [0,2 \pi)$ .

At points of intersection of the above two curves, the point satisfies both curves,which means: $r= 4 \cos{\theta} = 8 \sin{\theta} \Rightarrow \tan{\theta} = 0.5$ . There are precisely two values of $\theta \in (0,\frac{\pi}{2}) \cup (\pi, \frac{3 \pi}{2})$ which satisfies this.