$\"\"$

The rectangular equation is $\"\"$ .

The graph of $\"\"$ is a hyperbola.

To find the polar form of this equation replace $\"\"$ with $\"\"$ and $\"\"$ with $\"\"$ .

Now simplify the rectangular form of the equation $\"\"$ .

$\"\"$ .

$\"\"$

From the trignometric identity : $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

Evaluate the function for several values of $\"\"$ in its domain and use this points to graph the function.

(1)Draw the coordinate plane.

(2)Graph the function $\"\"$ .

Graph :

$\"\"$

$\"\"$

The graph of the polar equation is a hyperbola.

Graph :

$\"\"$