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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