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

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Answer 1 · 2018-06-26T21:09:16

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#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 #