hmmm
think it means
t = 33 + 7 sin [ (pi/12)(x-11) ]
when x = 0
we have sin [-11 pi/12]
which is - sin [11*180/12] = -sin(165 degrees)
= -.259
so
t = 33 - 7(.259) = 31.2 degrees F
The temperature in your house is controlled by a thermostat. The temperatures will vary according to the sinusoidal function:
f(x)=7sin(π/12(x-11))+33 where f(x) represents the temperature in degrees Celsius (°C) and x is hours since midnight. What is the temperature of your house at midnight?
a) 7°C
b) 16°C
c) 22°C
d) 31°C
I tried plugging in zero for x since no time had passed since midnight, but my result wasn't one of the answer choices. Thanks!!
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