Question

711Suppose a point has polar coordinates 6,with the angle measured in radians.6Find two additional polar representations of the point.Write each coordinate in simplest form with the angle in (-21, 211].

Answer 1

The Solution.

The given polar coordinate is

`(6,(7\pi)/(6))`

The additional polar representations of the given point are:

Moving clockwise, we get

`(6,-(5\pi)/(6))`

Starting from the negative point and moving anticlockwise, we have;

`(-6,(\pi)/(6))`

The correct answer are:

`(6,(5\pi)/(6))\text{ and (-6,}(\pi)/(6))`