Graph (-2pi)/3

Problem

−(2*π)/3

Solution

1. Identify the angle in radians. The given value is −(2*π)/3 which represents a rotation in the coordinate plane.

2. Determine the direction of rotation. Since the angle is negative, the rotation starts from the positive x-axis and moves in a clockwise direction.

3. Convert to degrees for easier visualization if necessary.

−(2*π)/3⋅180/π=−120

4. Locate the terminal side. Starting from the positive x-axis (0, rotating clockwise 90 reaches the negative y-axis. Rotating an additional 30 clockwise places the terminal side in Quadrant III.

5. Sketch the angle. Draw an initial side along the positive x-axis and a terminal side in the third quadrant that makes a 60 reference angle with the negative x-axis.

Final Answer

θ=−(2*π)/3

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