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The sine function can be evaluated by the following infinite series: 2 4 6 cos 1 2 ! 4 ! 6 ! x x x
The sine function can be evaluated by the following infinite series:
cos
x x x
x
Write an algorithm to implement this formula so that it computes and prints out the values of cos x as each
term in the series is added. In other words, compute and print in sequence the values for
cos
cos
cos
x
x
x
x x
x
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
error
true
Write the algorithm as a a structured flowchart and b pseudocode.
The development of the algorithm hinges on recognizing that the series approximation of the sine can be
represented concisely by the summation,
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