Find the Reference Angle -300

Problem

−300^∘

Solution

1. Find the coterminal angle in the range [0^∘,360^∘) by adding 360^∘ to the given negative angle.

−300^∘+360^∘=60^∘

2. Identify the quadrant where the terminal side of the angle lies. Since 60^∘ is between 0^∘ and 90^∘ the angle is in Quadrant I.

0^∘<60^∘<90^∘

3. Determine the reference angle (θ_r) based on the quadrant. For an angle θ in Quadrant I, the reference angle is equal to the angle itself.

(θ_r)=θ

4. Calculate the final value.

(θ_r)=60^∘

Final Answer

Reference Angle of −300^∘=60^∘

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