00:01
So in part a of this problem, we're being asked to find an angle that's between 0 and 360 degrees.
00:05
That's coterminal to negative 240 degrees.
00:08
Remember, coterminal angles are angles that when drawn in standard position are the same.
00:13
So if i go ahead and come up with our coordinate plane, let's draw negative 240 degrees.
00:18
Well, remember, each one of our quadrants is 90.
00:21
So this would be negative 90.
00:23
This would be negative 180.
00:24
So negative 240 would be here in the second quadrant.
00:28
So this is negative 240 degrees.
00:31
So if we're trying to come up with an angle between 0 and 360, that means we want to go on a counterclockwise direction.
00:37
Well, that means we would essentially need the rest of the circle.
00:40
Remember, there's 360 degrees in the circle.
00:43
So all we need to do is take 360 and subtract 240, which is equal to 120.
00:48
So 120 degrees would be co -terminal with negative 240.
00:52
Now, for part b is the same concept except we're using radiance.
00:56
So we have 11 pi over 4.
00:57
First thing we need to do is draw it out...