The trigonometric function is .

First graph the function .

Compare the function with .

Here .

Amplitude is  .

Period  .

Solve the equations for the interval

and

and .

The interval corresponds to one cycle of the graph.

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

Construct the table of values in the interval :

Graph :

1). Draw the co-ordinate plane.

2). Plot the key points.

3). Sketch the graph, connected through those key points with a smooth curve.

      The graph of the sine function is represented in pink colour.

Because the sine function is zero at the midpoint and endpoints of this interval, the corresponding cosecant function is :

The above function has vertical asyptotes at , , and , ........

The graph of the cosecant function is represented by red colour.

The graph of is :