How do you write the rectangular equation #x^2+y^2=2y# in polar form?

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Answer 1 · 2016-10-27T11:15:03

#r=2sintheta#

For Polar co-ords.

#r^2=x^2+y^2#

#x=rcostheta#
#y=rsintheta#

So #x^2+y^2=2y#

becomes

#r^2=2rsintheta#

#r^cancel(2)=2cancel(r)sintheta#

#:.r=2sintheta#