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^∘

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

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

θ^′=250^∘−180^∘

4. Calculate the final value.

θ^′=70^∘

Final Answer

Reference Angle of −110^∘=70^∘

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