How do I write this equation in polar coordinates. Express as a function of t. Assume that r>0?

Question

x2(x2+y2)=7y2

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Answer 1 · 2018-04-19T02:59:31

#r =sqrt(7)tantheta#

I'm assuming the question is

#x^2(x^2 + y^2) = 7y^2# and you want us to express in terms of #theta#.

We see that

#x^2 + y^2 = 7(y^2/x^2)#

Recall that #r^2 = x^2 + y^2# and #y/x= tantheta#.

#r^2 = 7tan^2theta#

#r = sqrt(7)tantheta#

Hopefully this helps!