A$.$ Write a Fortran program to output values of the function $sin(x)$ to an array with $20$

elements, where $x$ varies from $0$ to $6$ along the range of the array. That is: array element

$1$ has the numerical value of $sin(0)$ and array element $20$ has the numerical value of sin

$(6).$ Attach a screenshot of the code and the results from running the code.

B$.$ Modify the program to take the array it calculated $($call it $a(i))$ and perform the following

operation. Create a new array $b(i)$ that, when compared to the original array.

a$.$ Has the same array of values for elements $1$ and $20.$

b$.$ For all the other elements, average the array elements with two adjacent array

elements, so that $b(i)=\frac{a(i-1)+a(i)+a(i+1)}{3}.$

Attach a screenshot of the code and the results from running the code.