INSTRUCTOR: All right, so in this example, guys-- or at least let's go ahead and plot these first count of 3. So again, remember this polar coordinate system is just on the xy axis. But remember, we talked about our polar points are in terms of r and theta. And we came across that by a point on the unit circle. We could also write it as cosine and sine. And then depending on what the magnitude is or the radius, we would just multiply that radius. 

And therefore, every x and y-coordinate can be written as r cosine theta, r sine theta. Now, this is going to be very, very important to your understanding of these points. However, for the first problem, we don't really need to really worry about that. We can really just focus on the polar coordinate being r and theta, meaning that is my radius. So the first circle has a radius of 1. So the second circle is a radius 2. So it's going to be somewhere around here. And then we just need to graph where is-- oh, I already did. That was supposed to be positive. Sorry about that. 

Where is positive 2/3? We can keep it negative. Well, let's just keep it positive. So what I'd like to do is just go back to your memory of the unit circle. And let's just sketch the angle of where 2/3 is. And just remember, guys, we always start here. Going counterclockwise is positive. And halfway around the circle, remember, is pi. So therefore, that's 3 pi over 3. You could write pi as 3 pi over 3. So that means we could just break that up into three parts and, therefore, 1/3, 2/3. So that angle is right there. 

So when you're sketching your coordinate point, we're just going to have to estimate here. I mean, we're not going to be exactly perfect. But you could see that coordinate point on the unit circle will be there. But since we have a radius of 2, we're going to go out here, and we'll label that as A. 

So that is your first one. So hopefully, you guys sketched A. If you would have sketched the negative, the negative version would have been down there. But I changed it to a positive, so that's why it'd be up there. So if you want to leave the negative, that's fine. There's nothing wrong with that. I just wanted to provide you guys--