Find a polar equation of the conic in terms of r with its focus at the pole.
Conic: hyperbola, Vertices: (5,pi/2), (2,pi/2)
What I did is found the center to be (7/2,pi/2), so c=7/2, a=3/2, e=7/2/3/2=7/3
Then the horizontal directrix above the pole
r= (7/3)p/1+7/3sin(theta)
r=7p/3+7sin(pi/2)=1, p=10/7
r-10/3+7sin(theta)
Can someone help with where I went wrong?
I'm a bit confused with your work.
First of all, find the equation in the $xy$ plane then substitute the $r\sin\theta$ and $r\cos\theta$ eqns