Question

How do I solve this problem? A) x=pi/4 x=5pi/4 D) X=pi/4, x=3pi/4

Answer 1

`\begin{gathered} \tan (x)+1=0 \\ \tan (x)+1-1=0-1 \\ \tan (x)=-1 \end{gathered}`

If we graph:

y = tan(x)

and

y = -1

we get:

From the graph, in the range [0, 2π), there are 2 solutions:

`\begin{gathered} x=(3\pi)/(4) \\ x=(7\pi)/(4) \end{gathered}`