$\"\"$

The function is $\"\"$ .

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

Find vertical asymptotes.

Tangent has asymptotes equations: $\"\"$ and $\"\"$ .

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

$\"\"$ and $\"\"$ .

Table :

Construct a table containing $\"\"$ -intercepts and vertical asymptote for $\"\"$ for one period $\"\"$ .

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

Function	vertical asymptote	$\"\"$ -intercept	vertical asymptote
$\"\"$	$\"\"$	$\"\"$	\ $\"\"$ \

Observe the table:

The function $\"\"$ have touches the graph at the $\"\"$ .

$\"\"$

The function is $\"\"$ .

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

Cotangent has asymptotes equations: $\"\"$ and $\"\"$ .

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

$\"\"$ and $\"\"$

Table :

Construct a table containing $\"\"$ -intercepts and vertical asymptote for $\"\"$ for one period $\"\"$ .

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

Function	vertical asymptote	vertical asymptote
$\"\"$	$\"\"$	\ $\"\"$ \

Observe the table:

The function $\"\"$ has an vertical asymptote at $\"\"$ .

Hence the given graph is the function of $\"\"$ .

$\"\"$

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