How do you find the polar coordinates given the rectangular coordinates (0,1)?

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Answer 1 · 2018-07-28T12:04:39

#(r, \theta)\equiv(1, \pi/2)#

Given Cartesian coordinates #(x, y)\equiv(0, 1)# are converted into polar form #(r, \theta)# as follows

#r=\sqrt{x^2+y^2}#

#=\sqrt{0^2+1^2}#

#=1#

&
#\theta=\tan^{-1}(y/x)#

#=\tan^{-1}(\infty)#

#=\pi/2#

hence, the polar form of given point is

#(r, \theta)\equiv(1, \pi/2)#