by the following infinite series: sinx = x--+ + 3! 5! 7! Write an algorithm to implement this formula so that it computes and prints out the values of sin x as each term in the series is added. In other words, compute and print in sequence the values for sinx = x sinx = x- 3! sinx = x--+ 3! 5! up to the order term n of your choosing. For each of the preceding, compute and display the percent relative error as true series approximation true % error = 100% Write the algorithm as (a) a structured flowchart and (b) pseudocode