Write a computer program (using matlab) that calculates the approximate value of sin(x) using the Maclaurin series approximation:

up to 8 significant figures. Use % in order to continue until the falls below this criteria.

Run your program for x = and , and tabulate the approximate values of sin(x), the true and approximate percent relative errors for various terms that are taken for the series.

In the table, show the approximate results for more than 8 significant figures rounded for different number of terms to show that the final approximate is accurate to at least 8 significant figures.

sin-L = -+5 E I +