00:01
In this question, we are asked to find two positive and two negative angles coterminal with 180 degrees.
00:07
Recall that the angle 180 degrees corresponds to the negative x -axis.
00:18
So the blue line here is 180 degrees.
00:23
Now recall that the angles are coterminal if they differ by one complete rotation in either positive or negative direction.
00:32
So if you go in this direction, one complete rotation, you're going to get a coterminal angle.
00:43
If you go in the opposite direction, one complete rotation, you're also going to get a coterminal angle.
00:49
If you do one more rotation, you're also going to get a coterminal angle.
00:54
And recall that a rotation by one complete rotation is amounts to adding or subtracting 360 degrees.
01:03
So to find cat terminal angles, we need to take 180 degrees and add, 360 degrees.
01:14
That's going to be one coterminal angle.
01:17
And this angle here equals to 540 degrees.
01:25
Now you can take 500, if you take 180 and add 2 times 360 degrees, this basically means that you are doing two rotations.
01:42
This is equal to 180 plus 720 and 720 plus 180 plus 180...