Find the Reference Angle -160

Problem

−160^∘

Solution

1. Find the coterminal angle in the range [0^∘,360^∘) by adding 360^∘ to the given negative angle.

−160^∘+360^∘=200^∘

2. Identify the quadrant where the terminal side of the angle lies. Since 180^∘<200^∘<270^∘ the angle is in Quadrant III.

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

θ^′=200^∘−180^∘

4. Calculate the final value.

θ^′=20^∘

Final Answer

Reference Angle of −160^∘=20^∘

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