Find the Reference Angle -150

Problem

−150

Solution

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

−150+360=210

2. Identify the quadrant where the angle 210 terminates. Since 180<210<270 the angle is in Quadrant III.

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

θ′=210−180

4. Calculate the final value.

θ′=30

Final Answer

Reference Angle of −150=30

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