**Answer and Explanation : **

**Given : **Function

**To find : **

1) Domain and range

2) Period

3) Two Vertical Asymptotes

**Solution : **

**1) Domain** is defined as the set of possible values of x where function is defined.

For domain,

So,

The value of x is define as

**The domain of the function is all real numbers except**

**The range** is defined as all the y values for every x.

So, **The range of the function is all real numbers.**

**2) The general form of the cot function is**

Where, Period is

On comparing, B=3

**So, The period of the given function is**

**3) Vertical asymptote **is defined as the line which approaches to infinity but never touches the line.

The vertical asymptote is at where function is not defined.

**The two vertical asymptote is **

**Put n=0, **

**Put n=1, **

**So, The two vertical asymptote are **