Question

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-15))+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.?

Answer 1

3 pm is 15 hours after midnight.
So, plug in x=15 and you have
f(15)=6sin(Pi/12(15-15))+19 = 19

Answer 2

Thanks