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