Graphing Trig Functions

jinx24

New member
Joined
Jan 23, 2006
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45
Hi, again!

So, I am having no trouble at all graphing all of the trig functions, but when it comes to stating where the asymptotes are (or the x-intercepts), I get stuck. I know I could just write out each one, but I am trying to put it in a simpler form, such as x=k(pi/2).

Here is the problem I am working on:

"Graph each function for 2 periods. Specify the intercepts and the asymptotes."

y= -1/2 csc (pi(x) + (pi/3)

I graphed the function starting at 1/3 and ending at 13/3.

The asymptotes are at x= 1/3, 4/3, 7/3, 10/3, and 13/3, and there are no x intercepts.

So, I am thinking that I could state the asymptotes by saying, x= (k/3), but I don't know how to define k.

Thanks for the help!
 
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