1 point One fine day in Rochester the low temperature occurs at 5 a m and the high temperature at 5 p m The temperature varies sinusoidally all day The temperature t hours after midnight is t C 12 T t A B sin where A B and C are certain constants The low temperature is 56 and the high temperature is 62 Find the average temperature during the first 6 hours after noon Hint The high and low temperatures can be used together to find A and B Determine C from the fact that it is hottest at 5 p m