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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