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

Essay

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, $1 \leq t \leq 365$ nd t = 1 corresponds to January 1. For what range of values of t is the average daily
temperature above 70°F? Use a calculator and round answers to the nearest whole number.