Which of the following are vertical asymptotes of the function y=2cot (3x) +4? Check all that applies (also attached below).

A. x=0
B. x=+-pi/2
C. x=2pi
D. x=pi/3

Please explain. Thank you!

Question

Which of the following are vertical asymptotes of the function y=2cot (3x) +4? Check all that applies (also attached below). 

A. x=0
B. x=+-pi/2
C. x=2pi
D. x=pi/3

Please explain. Thank you!

kj4uts · Answer

attachment

campbell_st · Answer

the period for tan is pi... which will also be the period for cot... since cot=1/tan

so if you have

$$y = \tan(bx)$$

the period is 

$$\frac{\pi}{b}$$

same rule applies for cot

now you should be able to use this to solve your problem