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Sinusoidal Function. A function with a graph that resembles a sine or cosine curve in the form of:. Big & little: the largest & smallest pieces of the given data. Where:. Solve for k:. Calculate c by substituting one set of ordered pairs after replacing A, k, & h. Calculate the total hours:.
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Sinusoidal Function A function with a graph that resembles a sine or cosine curve in the form of: Big & little: the largest & smallest pieces of the given data. Where: Solve for k: Calculate c by substituting one set of ordered pairs after replacing A, k, & h.
Calculate the total hours: a = big minus little, div by 2 h = big plus little div by 2 Period is 12 months (from the data) Next, choose an ordered pair from the data, plug into the equation & solve for c.
January: t = 1, y = 10.68 Do the math: The sinusoidal function representing the data is:
However, the phase shift will be different. To avoid a greater phase shift than necessary, use the following rule: If the value of the function is about zero at x = 0, use sine If the value of the function is a maximum or minimum at x = 0, use cosine. (A must be negative, since at t=o the value is a minimum, the the graph goes up from there) A = Dif of most/least div by 2 h = Sum of most/least div by 2 t = 0, y = 0.08 The period is 4 seconds
