Which function's graph has asymptotes located at the values x=π/2±nπ?
1. y=sin x
2. y=sec x
3. y= cot x
5. y=tan x

A. I only

B. II only

C. I and III only

D. II and IV only

Question

Which function's graph has asymptotes located at the values x=π/2±nπ?
1. y=sin x
2. y=sec x
3. y= cot x
5. y=tan x

A.    I only

B.     II only

C.     I and III only

D.     II and IV only

campbell_st · Answer

well tan = sin/cos and sec = 1/cos

vertical asymptotes are the points where the denominator of a fraction can't be zero. 

what values make cos(x) = 0.. 

this will help the decision...