Find the Reference Angle -230 degrees

Problem

−230

Solution

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

−230+360=130

2. Identify the quadrant where the terminal side of the angle lies. Since 90<130<180 the angle is in Quadrant II.

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

θ′=180−130

4. Subtract to find the final reference angle.

θ′=50

Final Answer

Reference Angle of −230=50

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