$\"\"$

The function is $\"\"$ .

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

The cotgent function has asymptotes equations: $\"\"$ and $\"\"$ .

Hence the vertical asymptotes are

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

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

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

\ \

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

Observe the table :

The function has x-intercepts at $\"\"$ .

Compare with the given graphs.The graph $\"\"$ as $\"\"$ -intercepts at $\"\"$ .

hence the correct choice is $\"\"$ .

$\"\"$

The correct choice is $\"\"$ .