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Math Help - HARD domain problem

  1. #1
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    HARD domain problem

    What is the domain of the following vector?

    f(t) = 6 sec ^ (2t) i + t/sqrt(t ^ 2 - 4) j

    I know that a part of its domain is abs(t) > 2 but what about sec???

    By the way, here's the domain my book gives but it doesn't make any sense to me.

    "t" does NOT equal [pi(2n + 1)]/4 (equal sign crossed by a short line)

    and...

    abs(t) > 2



    Cheers.
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  2. #2
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    If t=\frac{(2K+1)\pi}{4} then \cos(2t)=0 therefore \sec(2t) is not defined.
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  3. #3
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    I see. I must have had a mind block because that does make sense. Thank you.

    But I'm kinda irritated because I find that it's very, very hard to determine an equation for that domain type................
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