00:01
We want to find the parametric equations for the position of a particle moving along a circle.
00:05
So we see that it's centered at the origin with a radius of five and completes the revolution in 4 pi seconds.
00:17
So if it's a radius of 5, well, we know then that means that at time 0, it doesn't matter where we start, but at time 0, let's say we start off with 5 .0.
00:30
And then by time 4 pi we're back at 5 .0.
00:41
So to do that, if we know that t is equal to 4 pi the period, we also know that t is equal to 2 pi over b.
00:51
That must mean b is equal to 1 half.
00:55
So if we're talking about sine and cosine, 5 .0, this would be 5 cosine of 0, gives us 5 .0.
01:08
And 5 sine of 0 gives us 0...