In C ++ only please.

This project will introduce functions. A Taylor series expansion can approximate various functions with its terms... the more terms, the closer to the real function value it is. The Taylor series expansion of sin(x) = sigma_n = 0^infinity (-1)^n/(2n + 1)! x^2n + 1, for all x, and the Taylor series of cos(x) = sigma_n = 0^infinity (-1)^n/(2n)! x^2n, for all x. Write two functions (using a new *.h and *.cpp file) that calculate sin(x) and cos(x), until the difference in successive sums is less than 10^-3. Write a program that prompts for x and uses your two functions to calculate these values. Print out the result. Test cases: sin(0.5) = 0.479425, cos(0.5) = 0.87758; sin(2) = 0.90929, cos(2) = -0.41614 Important! Use the factorial function given in class (from lecture) to do the denominators of the above equations.)