Find the Reference Angle -240 degrees

Problem

−240

Solution

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

−240+360=120

2. Identify the quadrant where the terminal side of 120 lies. Since 90<120<180 the angle is in Quadrant II.

3. Apply the reference angle formula for Quadrant II, which is θ′=180−θ

θ′=180−120

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

θ′=60

Final Answer

Reference Angle of −240=60

Want more problems? Check here!