Question: Question 1: 120 points] Write a computer program that calculates the approximate value of arctan(r) using the Maclaurin series approximation: arctan x =x--+ + up

Question 1: 120 points] Write a computer program that calculates the

Question 1: 120 points] Write a computer program that calculates the approximate value of arctan(r) using the Maclaurin series approximation: arctan x =x--+ + up to 8 significant figures. Use ,-0.5x 102-n % in order to continue until the falls below this criteria. Run your program for x = /4 and /6; tabulate the order of expansion, approximate values of arctan(x), the true and approximate percent relative errors for various terms that are taken for the series

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