The trigonometric function is .

Compare the function   with .

and Period = .

Two consecutive vertical asymptotes can be found by solving the equations and .

and .

The two consecutive vertical asymptotes occur at and .

The vertical asymptotes are and in the interval .

The vertical asymptotes are and in the interval , where is an odd integer.

The interval corresponds to one cycle of the graph.

Divide the interval into four equal parts to produce the key points.

One fourth of part .

The - coordinates of the five key points are

.

.

Construct a table between the two asymptotes and plot a few points, including the intercept, as obtained in the table.

Graph :

(1) First plot the asymptotes.

     The midpoint between two consecutive vertical asymptotes is an - intercept of the graph.

(2) The period of the function is the distance between two consecutive vertical asymptotes.

(3) Plot the points obtained in the table for one cycle.

      Finally, sketch one or two additional cycles to the left and right.

The graph of is :