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Math Help - Trigonometry graph

  1. #1
    Member helloying's Avatar
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    Trigonometry graph

    Help me! I know how to draw graph like sin 2x , 2sin x , sinx +2, sinx -2 but my problem is how to draw for 1-sinx or 2-sinx ? I dont understand the principle behind this. Can anyone explain to me please? Thank You very much.
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  2. #2
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    i still don't understand what do you mean?
    do you know how to use calcus?
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  3. #3
    Junior Member mathemanyak's Avatar
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    Quote Originally Posted by helloying View Post
    Help me! I know how to draw graph like sin 2x , 2sin x , sinx +2, sinx -2 but my problem is how to draw for 1-sinx or 2-sinx ? I dont understand the principle behind this. Can anyone explain to me please? Thank You very much.
    if you derive all of them, draw it easily.
    Do you know derivative?
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  4. #4
    Member helloying's Avatar
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    i know the standard graph of sinx, cosx and tanx. I also know that when there is like sinx +2, just shift the sinx graph up by two units. But i dont understand how to draw for 1-sinx or 2-sinx or questions like that. Do u understand me now? Please help me.
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  5. #5
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    Hello, helloying!

    It takes only a bit of algebra . . .


    I know how to draw graph like: \sin2x,\;2\sin x,\;\sin x +2,\;\sin x -2
    but my problem is how to draw for 1-\sin x or 2-\sin x

    If we have: . y \:=\:2-\sin x
    . . factor out -1: . y \:=\:-(\sin x - 2)


    You know the graph of: y \:=\:\sin x - 2
    . . It is the sine curve, lowered two units.

    Then: . y \:=\:{\color{red}-}(\sin x - 2) is the same graph
    . . reflected ("flipped") over the x-axis.

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