Find the Reference Angle 150

Problem

150^∘

Solution

1. Identify the quadrant in which the given angle θ=150^∘ lies. Since 90^∘<150^∘<180^∘ the angle is in Quadrant II.

2. Apply the formula for the reference angle θ^′ in Quadrant II, which is θ^′=180^∘−θ

3. Substitute the value of the angle into the formula: θ^′=180^∘−150^∘

4. Subtract the values to find the reference angle.

Final Answer

θ^′=30^∘

Want more problems? Check here!