Question

Where are the vertical asymptotes of `f(x) = tan x`?

Answer 1

The asymptotes are at `x=pi/2+kpi, x in ZZ`

Explanation:

The vertical asymptotes of a function are usually located in points, where the function is undefined. In this case since `tanx=sinx/cosx`, the asymptotes are located where `cosx=0` (denominator of a fraction cannot be zero) which leads to the answer: `x=pi/2+kpi, x in ZZ`