Matlab Coding Maclaurin Series Expansion Sine Function X Radians Function Used Approximate Q43882050
MATLAB CODING:
The Maclaurin series expansion for the sine function is:
where x is in radians. This function can be used toapproximate the sine of x with increasing accuracy asterms are added to the summation. Write a function that accepts twoscalar inputs (in order):
- A value for x (in radians).
- The number of series sums, N , to use in the seriesapproximation of sin(x).
Your function should generate the following three outputs (inorder):
- A column vector of the first N series summations.Consider the first summation to be x-x^3/3!.
- A column vector of the magnitude (i.e. absolute value) of theapproximate relative error values associated with thefirst N series summations. Note the “previousapproximation” for the first value in this vector will bex.
- A column vector of the true relative error valuesassociated with the first N series summations. UseMATLAB’s built-in sine function to compute the true value for thiserror calculation.
Note: The first two test cases test the results for the firstand second series sums respectively to aid in your debuggingprocess.
Please help edit my code for the required process above, thankyou!
CODE:
function [series_sums, approx_rel_error, true_rel_error] =student_solution(x, number_of_sums)
true_value = sin(x);
series_sums_loop = linspace(0,0,number_of_sums);
approx_rel_error_loop = linspace(0,0,number_of_sums);
true_rel_error_loop = linspace(0,0,number_of_sums);
num_time = 1;
for ndx = 1:number_of_sums
current_approx = (x^num_time/(factorial(num_time)));
prev_approx = (x^(num_time-2)/(factorial(num_time-2)));
series_sums_loop(ndx) = current_approx;
approx_rel_error_loop(ndx) =(current_approx-prev_approx)/current_approx;
true_rel_error_loop(ndx) =(true_value-current_approx)/true_value;
num_time = num_time + 2;
end
series_sums = series_sums_loop
approx_rel_error = approx_rel_error_loop
true_rel_error = true_rel_error_loop
end
х sin x = x – 3! 9! 7! 5! Show transcribed image text х sin x = x – 3! 9! 7! 5!
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