Find the Reference Angle 750 degrees

Problem

750^∘

Solution

1. Find the coterminal angle by subtracting multiples of 360^∘ until the angle is between 0^∘ and 360^∘

750^∘−2*(360^∘)

750^∘−720^∘=30^∘

2. Identify the quadrant in which the coterminal angle 30^∘ lies. Since 0^∘<30^∘<90^∘ the angle is in Quadrant I.

3. Determine the reference angle based on the quadrant rules. For an angle θ in Quadrant I, the reference angle θ^′ is equal to the angle itself.

θ^′=θ

θ^′=30^∘

Final Answer

Reference Angle of *750^∘=30^∘

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