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

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Answer 1 · 2018-07-26T22:27:34

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

$f(x) = tan(2x)$ 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:

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