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    Period, amplitude, and viewing rectangle

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    Determine the period and amplitude of the function.Then describe the viewing rectangle

    1-y=3/2cos x/2

    2-y=2/3cos pi x/10

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    Solution Preview

    1-y = (3/2)*cos(x/2)
    => y = 1 - (3/2)*cos(x/2)
    because cos(x) has period 2*pi
    x/2 = 2*pi
    => x = 4*pi, i.e., period of this function is 4*pi --Answer
    because, cosine function has range [-1,1], hence,
    1-(3/2)*cos(x/2) will have range [-1/2, 5/2]
    mean position = 1
    hence amplitude = 5/2 -1 = ...

    Solution Summary

    This shows how to determine the period and amplitude and describe the viewing rectangle