00:01
So you want to describe the position of this particle that's described by these parametric equations.
00:06
Or the x is equal to 3 times the sine of t and y is equal to 2 times the cosine of t.
00:13
I already have a plot set up so you can see that it's an ellipse.
00:18
But suppose you don't have that.
00:21
The way to do that would just be to make a quick chart of how it behaves its various points until you get some idea of how it's behaving.
00:31
So if we look at this one, negative pi, right? 3 times a sign of negative pi, but the sign of pi is 0.
00:43
2 times a cosine should be negative 2 times negative, excuse me.
00:50
This would be 2 times negative 1, which is negative 2.
00:56
3 times a sign of negative pi over 2 is negative 3 halves.
01:08
Actually just mean through yeah make good and any higher positive negative pie over two because i'm gonna be zero so we can just write zero qualities likewise for the sign value at zero or pi these are going to be zero now we can just fill in the rest of these and then we can sort of make a rough plot out behaves so let's see two times the cosine 0, which is 2...