Tan x has a vertical asymptote at x = . cot x has a vertical asymptote at x = . sec x has a vertical asymptote at x = . csc x has a vertical asymptote at x =

A vertical asymptote occurs when a function approaches infinity. This is usually the result of dividing by zero.  So find the 'x' value that causes the denominator to reach zero.

tan x = sin x / cos x   > cos x = 0 when x = pi/2, 3pi/2

cot x = cosx / sinx  > sin x = 0  when x = 0,pi

sec x = 1/cos x   > cos x = 0  when x = pi/2, 3pi/2

csc x = 1 /sin x    > sin x = 0  when x = 0,pi

Answer: d. 48 step-by-step explanation: i used a calculator so i am 100% sure these are right   mark as brainliest?