The graph of the sinusoidal function passes through (0,1), has a maximum point at (pi/2, 3), and a subsequent maximum point at (7pi/6 ,3).

Determine the amplitude, period, midline, and range of this function. (Hint: Determine the period, and show the point (0,1) is 3/4 of a period to the left of the point (pi/2, 3). Why does this guarantee (0,1) is on the midline?)

Determine a sine function with these characteristics.

Determine a Cosine function with these characteristics.

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