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 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](/WebImages/10/the-temperature-in-an-office-is-controlled-by-an-electronic-1001663-1761516039-0.webp)