Find all points of intersection

I'm asked to find all points of intersection between

and

.

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 ?

Confused...

Re: Find all points of intersection

Re: Find all points of intersection

Quote:

Originally Posted by

**centenial** I'm asked to find all points of intersection between

and

.

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

?

Confused...

What has integration got to do with the question **as posted**.