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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