What is the vertical asymptote of y=tan(x-pi/3)?

Answer 1

You know that tan(π/2) is undefined so there is a vertical asymptote at x=π/2
then x-π/3 = π/2
6x - 2π = 3π
x = 5π/6

there are vertical asymptotes at
x = 5π/6 + kπ, where k is an integer.