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Math Help - quick question

  1. #1
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    quick question

    Given the oscillation g() = 5 cos(3t - pi/4), state

    i)the amplitude
    ii) the period
    iii) the horizontal shift in radians

    i havent a clue where to start as i have never been taught this before
    any help would be great cheers!
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mxmadman_44 View Post
    Given the oscillation g() = 5 cos(3t - pi/4), state

    i)the amplitude
    ii) the period
    iii) the horizontal shift in radians

    i havent a clue where to start as i have never been taught this before
    any help would be great cheers!
    y = Acos(\omega t - \phi )

    A is the amplitude
    \omega is the angular frequency, from which we obtain T = \frac{2 \pi}{\omega}.

    \phi is called the "phase shift."

    Are you sure you are looking for the "horizontal shift" in radians? It should be in seconds:
    \omega t - \phi = \omega \left ( t - \frac{\phi}{\omega} \right )

    The term \frac{\phi}{\omega} tells how far we translate the cosine graph to the left (or right if the term is negative), and is what I think your instructor is looking for, not the phase shift.

    -Dan
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