$\"\"$

The function is $\"\"$ .

The graph of $\"\"$ is the graph of $\"\"$ is compressed horizontally by a factor of $\"\"$ and rotated about $\"\"$ -axis with the phaseshift of $\"\"$ .

The period of the function is $\"\"$ .

Substitute $\"\"$ .

$\"\"$

Find vertical asymptotes.

Cosecant asymptotes equations : $\"\"$ and $\"\"$ and $\"\"$ .

Hence the vertical asymptotes are $\"\"$ and $\"\"$ .

Hence one period of the function is $\"\"$ .

Table :

Construct a table for different values of $\"\"$ in the interval $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$

Graph:

1. Draw a coordinate plane.

2. Plot the points and sketch the asymptotes.

3.Connect the points with a smooth curve.

4.Repeat the same pattern for the next cycles.

$\"\"$

Graph of the function $\"\"$ is

$\"\"$ .