Question

Which of the following is an asymptote of y = sec(x)?

a) x = -27
b) x = -177
c) x = 7π
d) x = 3π/2

Answer 1

The correct asymptote of the function y = sec(x) is x = 3π/2.

Step-by-step explanation:

The question pertains to finding the asymptotes of the function y = sec(x). The secant function, which is the reciprocal of the cosine function, has vertical asymptotes where the cosine function is zero. This occurs at odd multiples of π/2 (pi/2), like π/2, 3π/2, 5π/2, and so on. So, among the provided options, the correct asymptote of y = sec(x) would be x = 3π/2.