$\"\"$

From the given data:

Conic is ellipse,

Eccentricity is $\"\"$ , and

Directrix is $\"\"$ .

The directrix is horizontal and below the pole.So we can choose the equation is $\"\"$ .

$\"\"$

The eccentricity of a ellipse is $\"\"$ and the distance between the pole and the directrix is p = 2.

$\"\"$ (Substitute the values : $\"\"$ and p = 2)

$\"\"$

$\"\"$ (Simplify)

$\"\"$

The polar equation is $\"\"$ .