Write a MATLAB program or Excel macro that will solve for $sin(x)$ using the infinite

series below. The program should have $2$ inputs: the value of $x$ and the stopping

criterion $($i$.$e$.$ maximum desired true fractional error$).$ Loop and add terms until the true

fractional error is less than the stopping criterion. Report the approximate value of $sin(x)$

and the number of terms needed.

$sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-$dots$={\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n{x}^{(2n+1)}}{(2n+1)!}$