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    Monophobic Fairy's Avatar
    Monophobic Fairy Posts: 1, Reputation: 1
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    #1

    Nov 6, 2007, 10:08 PM
    Pre-calc trig
    State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation.

    y= 2/3 cos ([x-3]/4) +1
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 7, 2007, 01:09 PM
    The basic form of the equation that you are interested in is:



    Where A = amplitude, = frequency, p = phase shift, and v = vertical dislacement. Can you take it fom there?
    nycfunction's Avatar
    nycfunction Posts: 29, Reputation: 4
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    #3

    Nov 11, 2007, 05:02 PM
    Quote Originally Posted by Monophobic Fairy
    State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation.

    y= 2/3 cos ([x-3]/4) +1
    We have a sinusoidal function whose general form is

    y = Acos(wt + p) + v

    The following formulas will be useful:


    Amplitude = | a |

    Period = 2pi / w

    Phase shift = p / w

    Vertical shift = d.

    Can you take it from there?

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