How do I convert r=-3sinθ to rectangular form ?

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Answer 1 · 2018-02-23T20:37:51

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

we need the transformation eqns

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

#x=rcostheta#

#y=rsintheta#

so

#r=-3sintheta#

multiply by #r#

#r^2=-3rsintheta#

substituting from above

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

#:.x^2+y^2+3y=0#