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Solve the Problem T=5523cos2π365(t30)T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )

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Solve the problem.
-The average daily temperature T of a city in the United States is approximated by T=5523cos2π365(t30)T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 ) where t is in days, 1t3651 \leq \mathrm { t } \leq 365 \text {, } nd t = 1 corresponds to January 1. Find the period of T.


Definitions:

Water Pressure

The force exerted by water per unit area, often significant in aquatic environments and engineering.

Gravity

The force by which a planet or other body draws objects toward its center, responsible for keeping objects grounded on Earth.

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