The sine function can be evaluated by the following infinite series:Create an M-file to im...

The sine function can be evaluated by the following infinite series:

Create an M-file to implement this formula so that it com­putes and displays the values of sin x as each term in the series is added. In other words, compute and display in sequence the values for

up to the order term of your choosing. For each of the pre­ceding, compute and display the percent relative error as

As a test case, employ the program to compute sin(0.9) for up to and including eight terms—that is, up to the term x15/15!.