The Maclaurin series for the sine and cosine are sin =0- cos 0=1-66 = 2771768* = Note that - the sine series only uses the odd values of n, while the cosine series uses the even values of n the alternating +/-between the terms (the (-1)" factor) as the n! increases in size, each term's contribution to the final value of the function gets smaller very important to also note that the angle is in radians The above series require the calculation of a factorial of n (n!) for each term. Recall that the factorial is defined as n! = n(n-1)(n-2)(n-3)...1 We would need to find the factorial on any integer (whole) positive number in order to use the equations. Assignment: The code below defines a function that returns the factorial of N. int factorial(int NXT int factN=1 if (N!= 0 && N != 1) for (int i=N;>1:--) factN = 1; return factN; Write a C program that uses the above function to calculate the sine and cosine values of any angle e. The program must include- Input statements with appropriate prompt that reads the value of the angle in degrees Calculates the sine & cosine values of by using the factorial function defined above accurate to 3 decimal locations Descriptive output statement(s) that print the values of in degrees) and the sine and cosine