when working with polar coordinates, remember that there are several ways to represent the same point. For example, the point (2, Pi) is the same as the point (-2, 0), (-2, -Pi), (2, 0).

You can check this by converting the polar coordinates to rectangular coordinates.

If the polar coordinate is represented as (r, A) where r is the radius and A is the angle, then

x = rcos(A), y = rsin(A)

Using the above example,

x= 2cos(Pi)

y= 2sin(Pi) converts to (-2,0) in rectangular coordinates

Likewise using the same formula for the polar coordinates (-2, 0), (-2, -Pi), (2, 0) also convert to (-2, 0) in rectangular coordinates.

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