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Math Help - Asymptote of equation with secant?

  1. #1
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    Asymptote of equation with secant?

    Basically, I'm given the equation: y= 5csc(7x) and I'm being asked for one x= asymptote.

    How would I go about solving this without a calculator?

    edit: accidentally mistyped the title as secant. Should be cosecant.
    Last edited by stemumz; April 6th 2010 at 03:58 PM. Reason: Mistype
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  2. #2
    Senior Member Stroodle's Avatar
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    cosec(x)=\frac{1}{sin(x)} so it has asymptotes where sin(x)=0.

    sin(x)=0 at x=n\pi,\ \ n\in J

    Hence, for your question you can solve 7x=n\pi to find the asymptotes.

    e.g. where n=1 there is an asymptote at \frac{\pi}{7}
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