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Outside temperature over a day can be modeled as a sinusoidal function . Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 70 and 40 degrees , respectively . Assuming t is the number of hours since midnight , find an equation for the temperature , D , in terms of t .D(t)=

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The temperature at midnight represents sin(t = 0)

D(0) = sin(0) = 55

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