Which of the following are vertical asymptotes of the function y=3cot (1/2x) - 4? A. 3pi B. 2pi C. pi/2 D. 0

A vertical asymptote occurs when function limit goes to infinity.

cot is reciprocal of tangent.

cot = 1/tan, Find where tan = 0, since 1/0 goes to infinity.

tan (a) = 0 when a = 0, pi

Now Apply coefficient inside cot function.

x/2 = 0, pi

x = 0, 2pi

Therefore, vertical asymptotes occur when x = 0 or 2pi