# Solve the equation tan(12(x−π4))=−1 for x∈[−2π,2π]. How do I solve for x?

##### 1 Answer

Apr 21, 2018

#### Explanation:

First, set the interior of the tan(x) function equal to a constant, say "u". You now have the equation:

Solving for u using the inverse tangent function, you get

You can now just solve for x by replacing u with the original contents.

Therefore

and

You can simplify these equations to find x. I will just show the work for the first solution.

The other solution is

Thus,