Answer
The points of intersection are: the pole, $(\sqrt 3/2,\pi/3)$ and $(\sqrt 3/2,2\pi/3)$
Work Step by Step
$sin\theta=sin2\theta$
$sin\theta=2sin\theta cos\theta$
$sin\theta=0$ or $cos\theta =1/2$
Therefore, the points of intersection are: the pole, $(\sqrt 3/2,\pi/3)$ and $(\sqrt 3/2,2\pi/3)$