The temperature in an office is controlled by an electronic

The temperature in an office is controlled by an electronic thermostat. The temperature varies according to the function: y = 19 + 6 sin[pi/12(x + 11)], where y is the temperature (degreeC) and x is the time in hours past midnight. At what time is the office temperature 16degreeC?

Solution

For y=16, sin[/12(x+11)]=-1/2

/12(x+11) = 7/6

=> x+11=14

=> x = 3

 The temperature in an office is controlled by an electronic thermostat. The temperature varies according to the function: y = 19 + 6 sin[pi/12(x + 11)], where

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