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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