Determine the vertical asymptotes of the graph of graph of y=secx/logx for x≤2pi

Answer 1

Vertical asymptotes occur when the denominaotrs of your function equal zero.

y = secx/logx is the same as
y = 1/(cosx logx)

so you would have those asymptotes when
cosx = 0 or logx = 0
x = pi/2 or 3pi/2 or x = 1