Find the Reference Angle -45 degrees

Problem

−45

Solution

1. Find a coterminal angle between 0 and 360 by adding 360 to the given negative angle.

−45+360=315

2. Identify the quadrant where the angle 315 terminates. Since 270<315<360 the angle is in Quadrant IV.

3. Apply the reference angle formula for Quadrant IV, which is θ′=360−θ

θ′=360−315

4. Subtract the values to find the final reference angle.

θ′=45

Final Answer

Reference Angle of −45=45

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