Suppose the temperature T degrees Celsius during a certain day is modelled by the cosine(图)-function T(t) =-10cos(pi t/12), +5 where t is the time in hours. At midnight t =

0 (a)For this function, what is the (i) Amplitude (ii)Period(ii (iii)Vertical shift? (b)Sketch one full cycle of this function, labelling the axes clearly. (c)Find the maximum and minimum temperatures during the 24 hours and the times of day when theyоссur. (d) What is the temperature at 8:30am?