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Answer :

The graph of the function:

[tex]f(x)=\cot (x+\frac{\pi}{6})[/tex]

is shown below:

By graphing at least one full period of the function, we would take the limit of the function as:

[tex]-\pi\le x\le\pi[/tex]

Hence, the graph of at least one full period is:

View image PayalP321331
View image PayalP321331