alleryThe function f(x) = tan x has vertical asymptotes at:
A$x = n\pi$ (multiples of π)
B$x = 2n\pi$ (multiples of 2π)
C$x = n\pi/2$ (all multiples of π/2)
D$x = (2n+1)\pi/2$ (odd multiples of π/2)
Answer & Solution
Correct answer: D. $x = (2n+1)\pi/2$ (odd multiples of π/2)
tan x = sin x / cos x.
Undefined where cos x = 0, which is at x = (2n+1)π/2 = π/2, 3π/2, 5π/2, ...
Period of tan x is π (NOT 2π).
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