Find the Reference Angle 240 degrees

Problem

240^∘

Solution

1. Identify the quadrant in which the given angle θ=240^∘ lies. Since 180^∘<240^∘<270^∘ the angle is in Quadrant III.

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

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

4. Subtract the values to find the reference angle.

240^∘−180^∘=60^∘

Final Answer

θ^′=60^∘

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