How do you find the asymptotes for #y= cot (x/2)#? Precalculus Functions Defined and Notation Asymptotes 1 Answer Robert W. Aug 7, 2018 n#pi# where n is an even integer or 0 Explanation: The asymptotes of cot x are 0, #+-pi# ,#+-2pi# etc so for your question, the asympotes are twice as far apart (think #sin(2x)# and #sin(x/2)#) Answer link Related questions What is an asymptote? What are some examples of functions with asymptotes? How do asymptotes relate to boundedness? Why do some functions have asymptotes? What are the vertical asymptotes of #f(x) = (2)/(x^2 - 1)#? Is the x-axis an asymptote of #f(x) = x^2#? Where are the vertical asymptotes of #f(x) = tan x#? Where are the vertical asymptotes of #f(x) = cot x#? How do I find the vertical asymptotes of #f(x)=tan2x#? How do I find the vertical asymptotes of #f(x) = tanπx#? See all questions in Asymptotes Impact of this question 1760 views around the world You can reuse this answer Creative Commons License