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Username Approximate values for sine and cosine of an angle, x (radians), can be obtained from the following infinite series equations: Ea 1 Eq. 2 61 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 "cos x", then solve the Pythagorean Identity, sin 2 + cos x2-1, using your approximate values, for a given value of x that ULTRAVIOLET is input by the user. Implement and run your program on the supercomputer. The results should display to screen in a tabular format. Include error obtained for each iteration by comparing your approximate result to the true value of 1.00000