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Math Help - Graphing sine / cosine / tangent (and inverses) w/o a calculator help

  1. #1
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    Graphing sine / cosine / tangent (and inverses) w/o a calculator help

    These questions have been killing me and I have no idea how to do them, please help

    y=1/2cot(2x - pi/2)


    y=2csc(2x/3 - pi/3)


    y=-5/2sin(3x - 3pi/2) +2



    y=-3cos(x/2 + 2pi/3)-2


    y=2sec(x - pi/4)
    Last edited by Kiith; March 17th 2013 at 06:44 PM.
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  2. #2
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    Re: Graphing sine / cosine / tangent (and inverses) w/o a calculator help

    Hey Kiith.

    Hint: For the first one, you should try graphing the tan function and then adjust for the scale factor (2x) and then the translation factor (-pi/2) and use the fact that cot(x) = 1/tan(x).

    You can use google to see what tan(x) looks like:

    tan(x) - Wolfram|Alpha
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  3. #3
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    Re: Graphing sine / cosine / tangent (and inverses) w/o a calculator help

    I understand that it's that I'm having trouble applying the phase shift or finding the 5 key points.
    For example in the 3rd one I got pi/2 as the phase shift by setting 3x-3pi/2 to zero and
    Got the period to be 2pi/3 and then divided that by 4 to get where my graph starts which is pi/6 which
    sounds conpletely wrong
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