Find the Reference Angle 330 degrees

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. The reference angle is the positive acute angle formed by the terminal side of θ and the x-axis.

3. Calculate the difference between 360^∘ and the given angle.

θ^′=360^∘−θ

4. Substitute the value of θ into the formula.

θ^′=360^∘−330^∘

5. Subtract to find the final value.

θ^′=30^∘

Final Answer

θ^′=30^∘

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