How do you convert #2=(9x+y)^2-x# into polar form?

Question

1701 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T10:03:37

#r^2(9costheta+sintheta)^2-rcostheta-2=0#

Given:

#2=(9x+y)^2-x#

#x=rcostheta#

#y=rsintheta#

#2=(9rcostheta+rsintheta)^2-rcostheta#

#2=r^2(9costheta+sintheta)^2-rcostheta#

#r^2(9costheta+sintheta)^2-rcostheta-2=0#