How do you find the rectangular coordinates given #(-2, 0)#?

1 Answer
Oct 21, 2016

#(-2,0)#

Explanation:

I think you have already given the coordinates in rectangular form, as in polar coordinates #r# is positive.

In polar coordinates #(r,theta)# signify moving a distance of #r# from origin at an angle #theta#, hence #r# is generally taken as positive.

Even assuming that a negative #r# means moving towards opposite direction to #theta#, as direction is indicated by point #(-2,0)#, this means moving #2# units towards angle opposite to #0# i.e. at an angle of #pi#. Hence it should appear as
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and this is nothing but #(-2,0)# in rectangular coordinates.
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