Find the Reference Angle 120 degrees

Problem

120

Solution

1. Identify the quadrant in which the given angle θ=120 lies. Since 90<120<180 the angle is in Quadrant II.

2. Apply the formula for the reference angle θ′ in Quadrant II, which is θ′=180−θ

3. Substitute the value of the angle into the formula to calculate the result.

4. Subtract the values to find the reference angle.

180−120=60

Final Answer

θ′=60

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