Graphing Trig Functions

Question

Where are the asymptotes of the graph of y = cot x ?

Answer 1

Hi,

For finding vertical asymptote in any function, you need to solve equation of denominator.

 y = cot x  = cosx / sinx in this case denominator is sinx = 0

sinx = 0 -----> x = 0, Π, 2Π in one unit circle, in fact these answers belong to [0. 2Π]

x= 0 x = Π and x = 2Π are vertical asymptotes

Be careful, if your question is finding asymptotes in one period THE ONLY ANSWERS ARE x= 0 x = Π

you know the period of cotx is (0,Π)

I hope it is useful,

Minoo