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**johan** ok everyone... i have this problem its a bonus for class, im preety sure i have the right answer (1139 valentines day)

here is the problem:: a dead body was found valetines day. in a room with no AC. The daily temperature of the room flucuates according to the function T(t)= 60-10sin (pi*t/12) where t=0 corresponds to midnight on any given day. The body was found at 3:00am feb 15 and the temperature was 78F. 4 hours later the temp was 55F. What is the time of death?

this is how i have set it up

78-55=k(60-10sin(pi*t/12) -78)

correct?