Question

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

Answer 1

\[cotx=cosx/sinx\]
so check for whatever \[\sin3x=0\]

Answer 2

i think domain is all real numbers except x=0 and x= pi/3

Answer 3

yeah so A and D are definitely the solution

Answer 4

look
sin3x will be equal to zero
for
x=pi/3,2pi, and 0
so A,B,D looks good to me

Answer 5

but yeah if we talk about period,
Period = (2pi/3) = (2/3)pi---> pi/2 = x so yes B also gives the solution

Answer 6

for x=pi/3
\[\sin(3x)=\sin(3*\frac{ \pi }{ 3 })=\sin \pi=0\]
for x=2pi\[\sin(3x)=\sin(2*3\pi)=0\]
and for x=0
\[\sin(3*0)=\sin0=0\]

Answer 7

Thank you!! It was A,B, and D.

Answer 8

yup :)