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    scratch_my_back's Avatar
    scratch_my_back Posts: 1, Reputation: 1
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    #1

    Oct 1, 2006, 04:43 PM
    how do i do amlplitude/period of sine/cosine functions
    how do i do? Amlplitude and period of sine and cosine functions

    y=-1/3sin(2x)
    (if u can put a graph for me and explain it)
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #2

    Oct 8, 2006, 08:30 PM
    The period = 2*pi/2 = pi.

    Amplitude = 1/3 (graph will be reflected through the x-axis since the constant multiplier is negative. In this case.)

    Plot the extrema and zeros: (0 , 0) , (-1/3 , pi/4) , (0 , pi/2) , (1/3 , 3*pi/4) , (0 , pi). This is the first period, on the interval [0 , pi.] Repeat the pattern for as many periods as you wish to graph.
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