[tex]\begin{gathered} \tan (x)+1=0 \\ \tan (x)+1-1=0-1 \\ \tan (x)=-1 \end{gathered}[/tex]
If we graph:
y = tan(x)
and
y = -1
we get:
From the graph, in the range [0, 2π), there are 2 solutions:
[tex]\begin{gathered} x=\frac{3\pi}{4} \\ x=\frac{7\pi}{4} \end{gathered}[/tex]
