00:03
We want to plot the polar coordinate for comma negative pi thirds.
00:08
So the unit circle is going to help us figure out where negative pi thirds is because this is in radiance and unit circles also have radiance.
00:17
I want you to notice that positive pi thirds is right here in the first quadrant.
00:23
Now we want negative pi thirds meaning that the y, if you want to think of it as a y coordinate, it flips over the x -axis.
00:31
So instead of being in the first quadrant, it's going to be in the fourth quadrant, or at 5 pi thirds.
00:38
So this is the angle we want to represent.
00:41
And the 4 tells us how long this coordinate is or how far away it is from the pole or the polar origin.
00:50
So doing a quick sketch of what we're trying to represent is we have circles of radiuses.
00:58
So this is a circle of radius 1.
01:02
I'm going to draw a circle of radius 2, circle of radius 3, these are perfect circles, huh? circle of radius 4.
01:13
I'm going to stop there because we just need a radius of 4, and we're going to go out at an angle that's in the fourth quadrant, and close to 270 degrees...