Find the Quadrant of the Angle -60

Problem

−60^∘

Solution

1. Identify the given angle as θ=−60^∘

2. Determine the direction of rotation, which is clockwise because the angle is negative.

3. Locate the angle on the coordinate plane by starting at the positive x-axis and rotating 60^∘ clockwise.

4. Compare the angle to the standard quadrant boundaries for negative rotations: Quadrant IV contains angles between 0^∘ and −90^∘

5. Conclude that since −90^∘<−60^∘<0^∘ the angle lies in the fourth quadrant.

Final Answer

Quadrant of −60^∘=Quadrant IV

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