Question #2a9f7

1 Answer
sjc
Dec 11, 2017

#r^2=sin2theta#

Explanation:

we need the equations

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

#x=rcostheta#

#y=rsintheta#

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

becomes

#(r^2)^2=2rcosthetarsintheta#

#cancel(r^4)^(r^2)=2cancel(r^2)sinthetacostheta#

#r^2=2sinthetacostheta#

#r^2=sin2theta#

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