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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