An angle in standard position is in the quadrant where its terminal side lies. Look at the first quadrant there is a 45° angle in standard position. In the II quadrant we have 135°, in the III we have 225° and last, in the IV we have 315°. As you can see in the figure below there are 2 arrows between the x-axis and the terminal side, which we will determine on the next topic.
Reference Angle
The reference angle for a nonquadrantal angle greater than 90° is the smallest nonnegative angle between the terminal side and the x axis when the angle is in standard position. It is drawn from the x axis to the terminal side of the angle and sometimes from the terminal side to the x axis but always in counter clockwise direction. All angles in standard position less than 90° are reference angles. You can look at the figure above for examples. Our reference angles for those examples are all 45°.
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