answersLogoWhite

0

Only the cofunctions have asymptotes. Because csc x = 1/sin x, csc x has vertical asymptotes whenever the denominator is equal to 0, or whenever sin x = 0, which are the multiples of pi (0,1,2,3,4,...). For sec x, it's 1/cos x, thus cos x = 0, x = pi/2 + pi*n, where n is a counting number (0,1,2,etc...). cot x = cos x/sin x, thus its vertical asymptotes are the same as those of csc x.

If the function is transformed, look at the number in front of x (for example, csc (2x), that number would be 2)), and divide the fundamental asymptotes (above) by that number. The vertical asymptotes of csc (2x) would be (pi/2, 2pi/2, 3pi/2, etc...).

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
More answers

Pp

User Avatar

Anonymous

4y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How do you find vertical asymptotes for trig functions?
Write your answer...
Submit
Still have questions?
magnify glass
imp