How do you find the polar coordinates of the point with rectangular coordinates #(-2,2# )?

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Answer 1 · 2014-09-19T11:40:37

The rectangular coordinates #(x,y)=(-2,2)# are #(r,theta)=(2sqrt{2},{3pi}/4)# in polar coordinates.

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Since #r# is the distance of the point from the origin,

#r-sqrt{x^2+y^2}=sqrt{(-2)^2+2^2}=sqrt{8}=2sqrt{2}#

Since the positive x-axis and the segment connecting the origin and the point make #135^circ={3pi}/4# rad,

#theta={3pi}/4#