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

Short Answer

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