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Math Help - Several Problems Trig

  1. #1
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    Several Problems Trig

    1. y=cot(x-(pi/6))


    What is the first negative asymptote?
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  2. #2
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    Quote Originally Posted by qbkr21 View Post
    1. y=cot(x-(pi/6))


    What is the first negative asymptote?
    x=\pi/6?

    RonL
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    Re:

    No thats not the correct answer I have already tried it...
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    Quote Originally Posted by qbkr21 View Post
    No thats not the correct answer I have already tried it...
    Opps negative - missed that

    -5\pi/6
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    Quote Originally Posted by qbkr21 View Post
    1. y=cot(x-(pi/6))


    What is the first negative asymptote?
    hello,

    the cot-function is not defined for x \in \{ ...-2\pi, -\pi, 0, \pi, 2\pi...\}

    Then calculate x if
    x-\frac{\pi}{6} = k \cdot \pi, \ k \in \mathbb{Z}

    I've got the the first negative asymptote at x=-\frac{5}{6} \pi

    EB
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    Re:

    Ok yea that right, great thanks


    But what formula did you use. Keep in mind that I am in Pre-Calc
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    Quote Originally Posted by qbkr21 View Post
    Ok yea that right, great thanks


    But what formula did you use. Keep in mind that I am in Pre-Calc
    The vertical asymtotes occur where tan(x-pi/6) is zero (and so the cot goes
    to infinity), which are the points where x-pi/6=n pi, n=0, +/-1, +/-2, ....

    RonL

    (and checking by ploting the graph of tan(x-pi/6) and or cot(x-pi/6))
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