Find the Reference Angle 300

Problem

300^∘

Solution

1. Identify the quadrant in which the given angle θ=300^∘ lies. Since 270^∘<300^∘<360^∘ the angle is in 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^∘−300^∘

4. Subtract the values to find the reference angle.

θ^′=60^∘

Final Answer

θ^′=60^∘

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