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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