Find the polar coordinates of the point(s) of intersection of the given curves for 0 $0 \leq \theta < 2 \pi$
- $r = 1 , r = 1 + \sin \theta$

Question

Find the polar coordinates of the point(s) of intersection of the given curves for 0 $$0 \leq \theta < 2 \pi$$
-$r = 1 , r = 1 + \sin \theta$
A) $( 1,0 ) , ( 1 , \pi )$
B) $( 0,0 ) , ( 1,0 ) , ( 1 , \pi )$
C) $( 0,0 ) , ( 0,1 ) , ( \pi , 1 )$
D) $( 0,1 ) , ( \pi , 1 )$

Quizplus · Accepted Answer

The points of intersection occur when $r = 1$ and $r = 1 + \sin \theta$ are equal, which happens when $\sin \theta = 0$. This occurs at $\theta = 0$ and $\theta = \pi$, giving the points $(1, 0)$ and $(1, \pi)$.

Find the Polar Coordinates of the Point(s) of Intersection of the Given