How do I find the vertical asymptotes of $f(x)=tan2x$ ?

Question

7092 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-26T21:09:16

Shown below

$y = tan2x$

$y = (sin2x)/(cos2x)$

The vertical asymptote occurs when the function is undefined, in this case where the numerator is equal to 0 , as you can't divide by 0

$cos2x = 0$

$cos2x = cos (pi/2)$

$=> 2x = 2pi n pm pi/2$

$=>color(red)( x = pi n pm pi/4$

$AAn in ZZ$

How do I find the vertical asymptotes of f(x)=tan2xf(x)=tan2x?