Answer:
The model of the F-sharp note is 
The model of the temperature is 
Step-by-step explanation:
From the question we are told that
The frequency is 
The Amplitude is A = 1
The phase shift is 
The angular velocity of a wave can be given as

Substituting values


Now the sine function model of this note is given as

Substituting values
The minimum temperature is 
The maximum temperature is 
The average temperature is 
The Amplitude is 
The period = 24 This because the function is modeled in such a way that 24 hour is time to complete a full cycle
The General sin equation is mathematically given as

Where A is the Amplitude = 20
b is the angular speed
c is the phase shift
d is the vertical transition
And T(t) is the temperature after time t
And the period is evaluates as
since
This implies that
Since average is at 50 then it means that the wave graph has been shifted by 50 unites
d = 50
Now from our question
t = 3 hours when T(t) = 30
This means that

=> 
=> 
=> 
Since
we have

=> 
=> 
=> 
Therefore the sinusoidal model of the temperature is
