00:02
Okay, for your problem, we're looking for the polar coordinates for the cartesian coordinates of 2, negative 2, square, 3.
00:12
So the cartesian coordinates are going to be x and y.
00:20
So you get 2 and negative 2, 3.
00:25
Okay.
00:30
So let first is draw it and see where it is exactly.
00:36
So positive 2 and then negative 2 square 3.
00:40
You know, somewhere down here, there will be trying a lot of this.
00:49
And the distance from here to here will be two and the distance down will be two square or 30 so what you can use you can use your put that ring in the theorem to find the hypotenuse and i think a lot of you read it as far and it's just r squared equals x squared plus y square so you have your x and your y this is two squared plus two square or three squared and once you work that all the out you should get r squared equals 16 so r equals 4 once you take the square rid of both sides so we have four here so your polar coordinate you're going to be written as r comma theta so you found your r which is the four this is r it always be the hot potness of your triangle and then theta you're trying to figure out this angle here so a lot of most of the time what we do is they use the inverse tangent and they say that theta equals the inverse tangent of x over y i'm sorry y rex and that's just saying if you look at it when the beginning the tangent of theta is opposite over adjacent to the tangent would be two square three over adjacent would be two you can simplify those to get the square root three so what we're doing here is, and then, you know, to get to this formula, you're just taking the inverse tangent of both sides to make that tangent go away...