Write a MATLAB program to determine the value of sin x for values of x such...

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Write a MATLAB program to determine the value of sin x for values of x such that 0 <x < TT, using the sine series (Equation (1.13)). Find the answer to within a relative accuracy of 0.001 of the exact value of sin x, the criterion for convergence being abs ( (sum - sin (x) ) /sin (x)) < 0.0001, where sum is the summation of terms in the sin x series. Plot the number of terms that must be included in the sum to achieve this relative accuracy for each value of x. Redetermine the value of sin x using the sine series for five values of x such that 0 < x < T; however, this time use the following tolerance specification: absolute value of (last term/summation of terms)<0.0001 as the convergence criterion. Plot the number of terms that must be included in the sum to achieve this tolerance for each value of x. How well does the tolerance specification for the second criterion match the first criterion of convergence? sin x = x - 3! x7 5! (1.13) - 7! Write a MATLAB program to determine the value of sin x for values of x such that 0 <x < TT, using the sine series (Equation (1.13)). Find the answer to within a relative accuracy of 0.001 of the exact value of sin x, the criterion for convergence being abs ( (sum - sin (x) ) /sin (x)) < 0.0001, where sum is the summation of terms in the sin x series. Plot the number of terms that must be included in the sum to achieve this relative accuracy for each value of x. Redetermine the value of sin x using the sine series for five values of x such that 0 < x < T; however, this time use the following tolerance specification: absolute value of (last term/summation of terms)<0.0001 as the convergence criterion. Plot the number of terms that must be included in the sum to achieve this tolerance for each value of x. How well does the tolerance specification for the second criterion match the first criterion of convergence? sin x = x - 3! x7 5! (1.13) - 7!

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clc clear x inputtype value of angle in degrees x xpi180 convverting ... View the full answer