How do you change the rectangular equation #5y=x^2# into polar form?

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Answer 1 · 2016-11-23T13:26:40

#5sintheta=rcos^2theta#

for polars

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

#5y=x^2#

becomes

#5rsintheta=r^2cos^2theta#

#5cancel(r)sintheta=cancel(r^2)^rcos^2theta#

#5sintheta=rcos^2theta#