How do you convert # 3r=sin theta# to rectangular form?

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Answer 1 · 2016-11-23T08:34:40

#3x^2+3y^2-y=0#

for polars

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

#x=rcostheta#
#y=rsintheta#

#3r=sintheta#

multiply both sides by #""r#

#3r^2=rsintheta#

substitute in

3(x^2+y^2)=y#

#3x^2+3y^2-y=0#