Suppose a point has polar coordinates 4 11 pi6 with the angl

Suppose a point has polar coordinates (4, -11 pi/6), with the angle measured in radians. Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in [-2 pi, 2pi].

Solution

(4,-11/6)

one representation:

(4, (-11/6)+2)

=(4,/6)

another representation:

(-4, (-11/6)+)

=(-4,-5/6)