The rectangular equation is .

The graph of is a parabola.

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

Now simplify the rectangular form of the equation .

.

From the tangent and cotangent identities : .

From the reciprocal identities : .

.

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 parabola.

Graph :

\ \

.