I'm asked to find all points of intersection between
I've graphed both polar equations. The first one looks like a heart rotated 90 degrees to the right. The second like a heart flipped vertically.
I know that I'm supposed to set the equations equal to each other:
So, I need something that either makes both cos and sin zero, or makes them opposites of each other.
So, . But now that I have that, I'm not really sure how to proceed. Do I integrate one of the functions from 0 to ?