The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to a low of 0.08 (8%) in July. Assume that the percentage of precipitation varies monthly and behaves like a cosine curve. Part 1 of 2 (a) Write a function of the form P (t) = A cos (Bt-C) + D to model the precipitation probability. The value P (t) is the probability of precipitation (as a decimal), for month t, with January as t = 1. P (t) = cos X π

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