How do you find all polar coordinates of point P where P = (7, pi/3)?

1 Answer
Alan P.
Nov 11, 2015

If #P# has Cartesian coordinates #(7,pi/3)# then its Polar coordinates are
#(sqrt(7^2+(pi/3)^2), arctan(pi/21))#

Explanation:

The given coordinates #(7,pi/3)# look as if they are already in polar form (radius #=7#, and angle #=pi/3#).
but in case #(7,pi/3)# really are Cartesian coordinates (i.e. #(x,y) =(7,pi/3)#)

The radius is given by #sqrt(x^2+y^2)# and
the angle by #arctan(y/x)#

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