Find the Reference Angle 330

Problem

330^∘

Solution

1. Identify the quadrant in which the given angle θ=330^∘ lies. Since 270^∘<330^∘<360^∘ the angle is in the fourth quadrant (Quadrant IV).

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

3. Substitute the value of the angle into the formula: θ^′=360^∘−330^∘

4. Subtract the values to find the reference angle.

Final Answer

θ^′=30^∘

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