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Math Help - Sin and Cos question

  1. #1
    Member
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    Mar 2010
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    133

    Exclamation Sin and Cos question

    a) At what values of t does the graph of y = tan t have vertical asymptotes? What can you say about the graph of y = cos t at the same values of t?

    b) At what values of t does the graph of y = tan t have t-intercepts? What can you say about the graph of y = sin t at the same values of t?

    I have already graphed the tan function and it keeps repeating itself in many periods and so it has many asymptotes. But I am confused as to which values of t do I choose from? Please explain how to get the answer for these. Thank you.
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  2. #2
    Senior Member Stroodle's Avatar
    Joined
    Jun 2009
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    Hi there,

    Do you know how to sketch cosine and sine graphs?

    tan(t)=\frac{sin(t)}{cos(t)}, so it is undefined (i.e. there's asymptotes) where cos(t)=0, and tan(t)=0 (i.e. it has t-intercepts) where sin(t)=0
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