Which of these is an equation of one of the asymptotes of th

Which of these is an equation of one of the asymptotes of the function f(x) = 5 csc (1/2 pi x - 1/6 pi)|? x = 7 pi/3| x = 7 pi/6| x = 7/3| x = 7 pi/12| x = 4/3 None of the above.

Solution

given f(x)=5csc((1/2)x -(1/6))

asymptotes occur when ((1/2)x -(1/6)) =n, where n is integer

for n =1

(1/2)x -(1/6) =

(1/2)x =+(1/6)

(1/2)x =(7/6)

(1/2)x=(7/6)

x =7/3