Find the Reference Angle -30 degrees

Problem

−30

Solution

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

−30+360=330

2. Identify the quadrant where the angle 330 terminates. Since 270<330<360 the angle is in Quadrant IV.

3. Apply the reference angle formula for Quadrant IV, which is θ′=360−θ

θ′=360−330

4. Subtract to find the final reference angle.

θ′=30

Final Answer

Reference Angle of −30=30

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