Approximate values for sine and cosine of an angle. x (radians), can be obtained from the following infinite series equations: Eq. 1 sinx = x -*+ +- cos x = 1 ++ COS X = Eq. 2 1. Develop a procedure for iteratively determining values for sine and cosine using this relationship 2. Based on your algorithm, program a simultaneous solution to each equation in C or C++ to determine "sin X" and "cosx", then solve the Pythagorean Identity, (sin x)2 + (cos x)2 = 1.000 for each iteration, using your approximate values, for a given value of x=2 radians that is input by the user. Implement and run your program on the DMC supercomputer. The results should display to screen in a tabular format. Include the % error obtained for each iteration by comparing your approximate result to the true value of 1.000