Question

What are the asymptotes of `f(x) = tan(2x)`?

Answer 1

`45^@,135^@,225^@` etc.

Explanation:

`f(x) = tan(2x)` is the function `f(x) = tan(x)` stretched by a factor of `1/2` parallel to the x axis.

Since the asymptotes of `tan(x)` are `90^@, 270^@, 450^@` etc. , the asymptotes of `tan(2x)` will be half of these: