Find the Reference Angle -60

Problem

−60

Solution

1. Identify the given angle as θ=−60

2. Find a coterminal angle within the range [0,360) by adding 360 to the negative angle.

−60+360=300

3. Determine the quadrant in which the angle 300 lies. Since 270<300<360 the angle is in Quadrant IV.

4. Apply the formula for the reference angle θ′ in Quadrant IV, which is θ′=360−θ

θ′=360−300

5. Calculate the final value.

θ′=60

Final Answer

θ′=60

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