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Math Help - Writing a Sinusoidal Function?

  1. #1
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    Writing a Sinusoidal Function?

    Write a cosine function that models the oscillation of Eastport’s tides if their amplitude is 9 feet 8 inches, the equilibrium point is 12 feet 3 inches, the phase shift is -2.68 hours, and the period is 12.34 hours.

    How exactly do I do this? I've only written Sinusoidal functions for charts of data where you can find the amplitude by diving the difference by 2 and whatnot. Could anybody solve this for me and explain it preferably!
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    Re: Writing a Sinusoidal Function?

    Quote Originally Posted by glambeth View Post
    Write a cosine function that models the oscillation of Eastport’s tides if their amplitude is 9 feet 8 inches, the equilibrium point is 12 feet 3 inches, the phase shift is -2.68 hours, and the period is 12.34 hours.

    How exactly do I do this? I've only written Sinusoidal functions for charts of data where you can find the amplitude by diving the difference by 2 and whatnot. Could anybody solve this for me and explain it preferably!
    y = A\cos[B(x+C)]+D

    w/ what was given (and no other pertinent info) ...

    A = 9.67

    B = \frac{2\pi}{12.34}

    C = -2.68

    D = 12.25
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