Answer
The two points of intersection are: $(3, \frac{\pi}{3})$ and $(3, \frac{5\pi}{3})$
Work Step by Step
$r = 3$
$r = 2+2~cos~\theta$
To find the points of intersection, we can equate the expressions for $r$:
$3 = 2+2~cos~\theta$
$2~cos~\theta = 1$
$cos~\theta = \frac{1}{2}$
$\theta = \frac{\pi}{3}, \frac{5\pi}{3}$
We can find $r$:
$r = 3$
The two points of intersection are: $(3, \frac{\pi}{3})$ and $(3, \frac{5\pi}{3})$
