Answer:
<em>True</em>
Step-by-step explanation:
<u>Polar Coordinates</u>
One point in the plane can be expressed as its rectangular coordinates (x,y). Sometimes, it's convenient to express the points in the plane in polar coordinates
, where r is the radius or the distance from the point to the origin, and
is the angle measured from the positive x-direction counterclockwise.
The conversion between rectangular and polar coordinates are


The angle can be computed as the inverse tangent of y/x and it can be negative. It's enough that x and y have opposite signs to make the angle negative. For example, if x=1, y=-1

The angle that complies with the above equation is

But it can also be expressed as

Can the angle be negative? it depends on what is the domain given for
. Usually, it's
in which case, the angle cannot be negative.
But if the domain was
, then our first solution is valid and the angle is negative. We'll choose the most general answer: True