Where are the vertical asymptotes of #f(x) = tan x#?

1 Answer
Jun 20, 2015

Answer:

The asymptotes are at #x=pi/2+kpi, x in ZZ#

Explanation:

The vertical asymptotes of a function are usually located in points, where the function is undefined. In this case since #tanx=sinx/cosx#, the asymptotes are located where #cosx=0# (denominator of a fraction cannot be zero) which leads to the answer: #x=pi/2+kpi, x in ZZ#