PreCalculus
posted by Laila on .
y^2/25x^2/9=0
What is the polar equation that is equivalent to the rectangular equation?

Sorry it's actually equal to 1 not 0

just make the usual substitution.
y = rsinθ
x = rcosθ
so, that means
r^2sin^2θ/25  r^2cos^2θ/9 = 1
r^2(9sin^2θ25cos^2θ) = 225
r^2 = 225/(9sin^2θ25cos^2θ)
see the expected vertical hyperbola at
http://www.wolframalpha.com/input/?i=plot+r^2+%3D+225%2F%289sin^2%CE%B825cos^2%CE%B8%29