In order to determine the graph of the given function, cosider:
The function f(x) is indetermined when the argument of the cot is 0.
![\begin{gathered} x+(\pi)/(6)=0 \\ x=-(\pi)/(6) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zk761iameeoeml29m0g1wne5eukooywl7e.png)
In this case, the period is 2pi. Then, not only for x=-pi/6, but for x=5pi/6 the function is indeterminate.
Then, the graph is: