00:02
Okay, so here we want to find the coordinates for this point here.
00:07
So first we draw our x -axis and the y -axis.
00:14
The center of the circle will use that as the origin.
00:18
So here, okay, so this is our y -axis, and this is our x -axis.
00:25
Okay, so next we can draw a perpendicular line from the point to the x -axis here.
00:35
So the vertical length here is going to be our y.
00:38
Horizontal is going to be our x and we need those two values to write the point or the coordinates for p we need x and y okay so we know that our angle theta is 150 degrees which is in the second quadrant and the reference angle is going to be 180 minus 150 which is 30 degrees so the angle from the terminal side to the x -axis is 30 degrees so this is let me see this so this is 30 degrees so if you have 30 90 this must be the 60 so this is a special right triangle okay and we want to fill we want to find the vertical and the horizontal we know the hypothenus of a 3060 right triangle is equal to two times the shortest side so we can find the shortest side here so we have divided by two this goes away you're left with k equals uh three so the shortest side is three which side is the shortest side so the shortest side would be the side that's across or opposite of the smallest angle, which is 30 here.
02:19
So that side is here, which is three...