Find the Reference Angle -210

Problem

−210

Solution

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

−210+360=150

2. Identify the quadrant where the terminal side of 150 lies. Since 90<150<180 the angle is in Quadrant II.

150∈Quadrant II

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

θ′=180−150

4. Calculate the final value.

θ′=30

Final Answer

θ′=30

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