Find the Quadrant of the Angle -pi/6

Problem

−π/6

Solution

1. Identify the direction of the angle. Since the angle −π/6 is negative, it is measured clockwise from the positive xaxis.

2. Determine the numerical value in degrees for easier visualization.

θ=−π/6⋅180/π

θ=−30

3. Locate the angle within the standard coordinate system. An angle between 0 and −90 (or 0 and −π/2 radians) falls in the region where x is positive and y is negative.

4. Conclude the quadrant based on the standard labels. The region where x>0 and y<0 is the fourth quadrant.

Final Answer

Quadrant of −π/6=Quadrant IV

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