The temperature in your house is controlled by a thermostat. The temperatures will vary according to the sinusoidal function:f(x)=6sin(pi/12(x-11)+19, where f(x) represents the temperature in degrees Celsius (°C) and x is hours since midnight. What is the temperature of your house at 3:00 p.m.?
I got 19 celcius
2 answers
And its maximum temperature, I got 25 celcius.
3:00 pm is 15 hours after midnight
6sin(pi/12 (15-11))+19
6sin(pi/12 * 4)+19
6sin(pi/3)+19
6*0.866+19
24.196
6+19=25 is the maximum possible temperature
6sin(pi/12 (15-11))+19
6sin(pi/12 * 4)+19
6sin(pi/3)+19
6*0.866+19
24.196
6+19=25 is the maximum possible temperature