The sine function sin(x) can be well approximated by truncating the Maclaurin series when the number of terms used in the series is sufficiently large. Specifically, the (n+1)-term Maclaurin series (truncated) is given by: sin(x)k=0n(2k+1)!(1)kx2k+1=x3!x3+5!x5 (a) The truncated Maclaurin series can be computed efficiently via recursive calculations as follows: sin(x)k=0nCk(x) where Ck+1(x)=fkx2Ck(x) with C0(x)=x (recursion) Determine the expression of fk for recursive calculations. (2 points) (b) Write a MATLAB function M-file to compute the truncated Maclaurin series. Specifically, implement the approximation scheme of sin(x) by exploiting the recursive relation determined in (a). Code the function with the key parameters similar to the format shown below: (4 points) function sine_series =sinfn ( x_argument, number_of_terms) (c) Validate the MATLAB function written in (b) by completing the table in the following: (4 points)