Find the Reference Angle -30

Problem

−30

Solution

1. Identify the given angle as θ=−30

2. Find a coterminal angle within the range [0,360) by adding 360 to the negative angle.

−30+360=330

3. Determine the quadrant in which the angle 330 lies. Since 270<330<360 the angle is in Quadrant IV.

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

θ′=360−330

5. Calculate the final value.

θ′=30

Final Answer

θ′=30

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