How would I go about finding the vertical and horizantal asymtotes (if any) of the function f(x)=cscðx?

Question

Thanks for all your help.

Corin

Answer 1

change the function to 1/sinTheta.

Now: Horizontal Asy...when i the numerator zero? Ans: never

Vertical Asy..When is the denominator zero? Ans: At multiples of Theta equal to 180 (0, 180, 360, ..).

change the function to 1/sinTheta.

Now: Horizontal Asy...when i the numerator zero? Ans: never

Vertical Asy..When is the denominator zero? Ans: At multiples of Theta equal to 180 (0, 180, 360, ..).

Answer 2

So I would write the Vertical Asy answer...

x=0+(pi)n

correct?

since 180=pi and it can be added "n" number of times

please let me know if this is the correct notation

thanks so much for your help

--Corin

Answer 3

Yes, correct. I would have done it this way..

n*PI n=0,1,2,3,...