SOLUTION: Please explain why the polar coordinates of a point are not unique, but the rectangular coordinates of a point are unique. (Remember that the points are always unique.) Thanks!!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please explain why the polar coordinates of a point are not unique, but the rectangular coordinates of a point are unique. (Remember that the points are always unique.) Thanks!!       Log On


   

Question 633402: Please explain why the polar coordinates of a point are not unique, but the rectangular coordinates of a point are unique. (Remember that the points are always unique.) Thanks!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
(r,theta)=(r,theta+ 2kpi) for every k element of Z



but

(x1,y1)=(x2,y2) <=> x1=x2 and y1=y2