Asked by Anonymous
How to find the asymptotes of k(x) = 0.5csc(2x)?
Answers
Answered by
Reiny
since csc Ø = 1/sinØ
csc (2x) has asymptotes when sin(2x) = 0
(the amplitude won't matter)
sin(2x = 0
then
2x = 0 , ±π, ±2π , ±3π ....
x = 0 , ±π/2, ±π, ±3π/2 ...
http://www.wolframalpha.com/input/?i=plot+y+%3D+0.5csc%282x%29
the vertical lines are the asymptotes
csc (2x) has asymptotes when sin(2x) = 0
(the amplitude won't matter)
sin(2x = 0
then
2x = 0 , ±π, ±2π , ±3π ....
x = 0 , ±π/2, ±π, ±3π/2 ...
http://www.wolframalpha.com/input/?i=plot+y+%3D+0.5csc%282x%29
the vertical lines are the asymptotes
Answered by
Anonymous
So then could it be represented by pi(n)/2 ?
Answered by
Reiny
yes, you got it.
it would be x = nπ/2, where n is an integer.
it would be x = nπ/2, where n is an integer.
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