Polar equation of the ellipse is
.
The vertices on the ellipse are
and
.
Since the one of foci is at the pole, the other focus appears to be to the left of the pole.
\Find the eccentricity
by substituting the points in the ellipse.
Substitute
in the ellipse.

Substitute
in the ellipse.

Solve the equations
and
.

.
Consider
.
Substitute
in the above expression.

.
Substitute
and
in
.

Polar equation of the ellipse is
.
Polar equation of the ellipse is
.