Find the Reference Angle -60

Problem

−60^∘

Solution

1. Identify the given angle as θ=−60^∘

2. Find a coterminal angle within the range [0^∘,360^∘) by adding 360^∘ to the negative angle.

−60^∘+360^∘=300^∘

3. Determine the quadrant in which the angle 300^∘ lies. Since 270^∘<300^∘<360^∘ the angle is in Quadrant IV.

4. Apply the formula for the reference angle θ^′ in Quadrant IV, which is θ^′=360^∘−θ

θ^′=360^∘−300^∘

5. Calculate the final value.

θ^′=60^∘

Final Answer

θ^′=60^∘

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