Find the Reference Angle -225

Problem

−225

Solution

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

−225+360=135

2. Identify the quadrant where the terminal side of the angle lies. Since 135 is between 90 and 180 the angle is in Quadrant II.

90<135<180

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

θ′=180−135

4. Calculate the final value of the reference angle.

180−135=45

Final Answer

Reference Angle of −225=45

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