Answer:
[tex]x = \frac{\pi}{2} [/tex]
[tex]x = \frac{3\pi}{2} [/tex]
Step-by-step explanation:
The tangent function is
[tex]y = \tan(x) [/tex]
We can rewrite it as:
[tex]y = \frac{ \sin(x) }{ \cos(x) } [/tex]
This graph has vertical asymptotes at where the denominator is zero.
[tex] \cos(x) = 0 \\ \implies \: x = \frac{\pi}{2} \: or \: \frac{3\pi}{2} [/tex]
