During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern, given by the function T, left bracket, t, right bracket, equals, 3, point, 5T(t)=3.5 cosleft bracket, start fraction, pi, divided by, 12, end fraction, left bracket, t, plus, 8, right bracket, right bracket, plus, 15, point, 5( 12 π ​ (t 8)) 15.5, where TT represents the temperature and time tt is measured in hours after 12:00 a.m. (midnight). What is the maximum and what does it represent in this context?