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Math Help - Multiplying trig functions

  1. #1
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    Multiplying trig functions

    If(secx)(tanx) < 0, which of the following must be true?
    I. tanx <0
    II. scsx cotx < 0
    III. x is in the third or fourth quadrant

    So I first simplified secx * tanx into sinx/cos^2x using the property that tanx = sinx/cosx, and then i graphed it on my calculator, but I'm not sure what to do next.
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  2. #2
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    Re: Multiplying trig functions

    Quote Originally Posted by rasen58 View Post
    If(secx)(tanx) < 0, which of the following must be true?
    I. tanx <0
    II. scsx cotx < 0
    III. x is in the third or fourth quadrant

    So I first simplified secx * tanx into sinx/cos^2x using the property that tanx = sinx/cosx, and then i graphed it on my calculator, but I'm not sure what to do next.
    If (\sec(x))(\tan(x)) < 0 then one of the factors is negative and one is positive.
    Think in terms of quadrants.
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  3. #3
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    Re: Multiplying trig functions

    Oh I see, thank you!
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