# How do you find the exact value of # Arctan -sqrt3#?

##### 1 Answer

#### Explanation:

First, recognize that the domain of the function

Now, a little bit about what *means:*

This means that

We can see tangent and arctangent as "undoing" one another. Another way we can see

We know that

We see that:

- in
#tan(x)# ,#x# is an angle - in
#arctan(x)# ,#x# is the value of the tangent function

So, back to the original question:

What is the value of

#arctan(-sqrt3)# ?

This is essentially asking, **the tangent of what angle gives**

**?**

Since

We can reverse this with the

#arctan(-sqrt3)=-pi/3#