Trig Values of 675°

Now let . Note that this angle actually makes one complete circle (360°) in a counterclockwise fashion and then continues to span out another 315°. Hence, its terminal side lies in Quadrant IV and its reference angle is We are working with a 45°- 45°- 90° triangle positioned in Quadrant IV.

Therefore, from the definitions of the trigonometric functions, we have: