Chapter 10 - Parametric Equations and Polar Coordinates - 10.4 Exercises - Page 693: 41

Therefore, the points of intersection are: the pole, $(\sqrt 3/2,\pi/3)$ and $(\sqrt 3/2,2\pi/3)$

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