Find the Reference Angle 200

Problem

200^∘

Solution

1. Identify the quadrant in which the given angle 200^∘ lies. Since 180^∘<200^∘<270^∘ the angle is in the third quadrant (Quadrant III).

2. Apply the formula for the reference angle θ^′ in the third quadrant. The reference angle is the positive acute angle formed by the terminal side of the angle and the x-axis.

3. Calculate the difference using the formula θ^′=θ−180^∘

200^∘−180^∘=20^∘

Final Answer

θ^′=20^∘

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