Find the Reference Angle 420 degrees

Problem

420

Solution

1. Find the coterminal angle between 0 and 360 by subtracting 360 from the given angle.

420−360=60

2. Identify the quadrant where the coterminal angle 60 lies. Since 0<60<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′=60

Final Answer

Reference Angle of *420=60

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