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Find the Reference Angle -110 degrees

Problem

−110

Solution

  1. Find the coterminal angle between 0 and 360 by adding 360 to the given negative angle.

−110+360=250

  1. Identify the quadrant where the angle 250 lies. Since 180<250<270 the angle is in Quadrant III.

  2. Apply the reference angle formula for Quadrant III, which is θ′=θ−180

θ′=250−180

  1. Calculate the final value.

θ′=70

Final Answer

Reference Angle of −110=70


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