The coordinates of a point determine its location. In particular, the rectangular coordinates of a point P are given by an ordered pair , (
The coordinates of a point determine its location. In particular, the rectangular coordinates of a point P are given by an ordered pair xy where x is the signed distance the point lies from the yaxis to P and y is the signed distance the point lies from the xaxis to P In polar coordinates, we locate the point by considering the distance the point lies from the origin, O and the angle the line segment from the origin to P forms with the positive xaxis.
Determine the rectangular coordinates of the following points:
The point P that lies unit from the origin on the positive xaxis.
The point Q that lies units from the origin and such that OQ makes an angle of with the positive xaxis.
The point R that lies units from the origin such that OR makes an angle of with the positive xaxis.
Part a indicates that the two pieces of information completely determine the location of a point: either the traditional xy coordinates, or alternately, the distance r from the point to the origin along with the angle that the line through the origin and the point makes with the positive xaxis. We write r to denote the points location in its polar coordinate representation. Find polar c
