Question

So, i'm confused about the notation for stating the location of vertical asymptotes of this function

s(t) = 2t / sin(t)

Answer 1

i know the asymptotes are located at x=n*pi, but I'm not sure how to express that in this case. Every answer I put is wrong.

Answer 2

so far i've tried x=3, 3pi, 3n, sin(t), -sin(t), and 0

Answer 3

or for that matter @imranmeah91

Answer 4

for what value of t is denominator 0

Answer 5

you're speedy

Answer 6

0

Answer 7

obiviously , t=0 but that's not all

Answer 8

oh, ok

Answer 9

sine is periodic function

sin(0)=0

sin(pi)=0

sin(2pi)=0

you get the drift

let n b any integer , n=0,1,2,3,4,5,
sin(n pi)=0

so our verticle retricemtote is

x= n pi

Answer 10

retricemtote=asymtote

stupid autocorrect messed it up

Answer 11

so, does n=anything in particular, or if it true for all n?

Answer 12

**is it true

Answer 13

n has to be integer though

Answer 14

imranmeah91, you are fantastic. It's so neat to be able to come online with all my questions after class and find someone who will make things more clear! I really appreciate it!

Answer 15

you are welcome, great to hear