Answer
Points of intersection are:
in polar coordinates: $(2,\pm \pi/3)$
in rectangular coordinates: $(1,\pm \sqrt 3)$
Work Step by Step
$r=2$ and $r =4 cos \theta$ will intersect when $2=4 cos \theta$
this implies that $cos \theta = \frac {1}{2}$
Co-ordinates of points of intersection are:
$x=rcos\theta=2. \frac {1}{2}=1$
$y=rsin\theta=2. [\pm \frac {\sqrt 3}{2}]=\pm \sqrt 3$
Hence, points of intersection are: $(1,\pm \sqrt 3)$
