$\"\"$

The polar equation is $\"\"$ .

Rewrite the equation.

$\"\"$

$\"\"$ . \ \

The general form is $\"\"$ .

where $\"\"$ is eccentricity and $\"\"$ is directrix.

Compare the polar equation with general form of conic equation.

Here, $\"\"$ , $\"\"$ .

$\"\"$

$\"\"$ .

Since $\"\"$ ,the polar equation is ellipse.

The eccentricity and the form of the equation determine that it is a ellipse and directrix $\"\"$ .

$\"\"$

Graph:

Graph the polar equation $\"\"$ .

Draw the directrix $\"\"$ .

$\"\"$

$\"\"$ \ \ Graph of the polar equation $\"\"$ is

$\"\"$