Hello everyone:

I'm reviewing for a test, and I got some questions regarding polar coordinates:

Question one:

Show that the point

lies on the curve

Specifically, when you simply "plug in" the

and

, it gives you a false equality. I know that there are multiple ways to express the point

, and that apparently you must replace this point with an equivalent point in order to make the equality work. What exactly must I do to make this work?

Question two:

Find the intersections of this pair of curves:

and

Thanks!