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Math Help - Help with sinusoidal function rule

  1. #1
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    Help with sinusoidal function rule

    Tthis is a sinusoidal function and the following information is given, the lenght of a day was 12 hours on may 1st
    The length of a day kept going up until it reached its max at 15 hours and 30 mins. It then continued going down until its minimum at 8 hours and 30mins. It finally went back up to 12 hours on may 1st. What is the function rule?

    Thanks
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  2. #2
    Super Member
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    Re: Help with sinusoidal function rule

    Let May 1 correspond with x = 0 and x = 365. The "amplitude" is 3.5 hours. Hence our equation could look something like

    f(x) = 12 + 3.5 \sin {\frac{x}{365}}
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