1. which of the following is a vertical asymptote of the graph of y = tanx a) x = π b) x = π/4 c) x = π/3 d)…
1. which of the following is a vertical asymptote of the graph of y = tanx a) x = π b) x = π/4 c) x = π/3 d) x = π/2
Answer
Explanation:
Step1: Recall tangent - function property
The tangent function (y = \tan x=\frac{\sin x}{\cos x}). Vertical asymptotes occur where (\cos x = 0).
Step2: Solve (\cos x=0)
The general solution of the equation (\cos x = 0) is (x=\frac{\pi}{2}+k\pi), where (k\in\mathbb{Z}). When (k = 0), (x=\frac{\pi}{2}).
Answer:
d) (x=\frac{\pi}{2})