# Question 67f1f

Here the temperature varies in 24 hrs period from minimum value ${60}^{\circ} F$ to maximum value ${80}^{\circ} F$. Hence its equilibrium value will be $\frac{{60}^{\circ} + {80}^{\circ}}{2} = {70}^{\circ} F$
So the variation of temperature may be modeled by follwing a sinusoidal function of amplitude $\left({80}^{\circ} - {70}^{\circ}\right) = {10}^{\circ} F$
$f \left(x\right) = 70 + 10 \sin \left(\frac{2 \pi x}{24}\right) = 70 + 10 \sin \left(\frac{\pi x}{12}\right)$ in  ""^@F#, where x is the time in hour.