Find the Quadrant of the Angle -(5pi)/6

Problem

−(5*π)/6

Solution

1. Convert the angle from radians to degrees to visualize its position more easily.

θ=−(5*π)/6⋅180/π

θ=−150

2. Identify the direction of rotation. Since the angle is negative, rotate clockwise from the positive x-axis.

3. Determine the quadrant boundaries in the clockwise direction.

0* to −90⇒Quadrant IV

−90* to −180⇒Quadrant III

4. Locate the angle within these boundaries. Since −180<−150<−90 the angle lies in the third quadrant.

Final Answer

Quadrant of −(5*π)/6=Quadrant III

Want more problems? Check here!