Matlab coding question.

The Maclaurin series expansion for the sine function is:

where x is in radians. This function can be used to approximate the sine of x with increasing accuracy as terms are added to the summation. Write a function that accepts two scalar inputs (in order):

1. A value for x (in radians).
2. The number of series sums, N , to use in the series approximation of sin(x).

Your function should generate the following three outputs (in order):

1. A column vector of the first N series summations. Consider the first summation to be x-x^3/3!.
2. A column vector of the magnitude (i.e. absolute value) of the approximate relative error values associated with the first N series summations. Note the "previous approximation" for the first value in this vector will be x.
3. A column vector of the true relative error values associated with the first N series summations. Use MATLAB's built-in sine function to compute the true value for this error calculation ============================================================

The coding starts with

function [series_sums, approx_rel_error, true_rel_error] = student_solution(x, number_of_sums)

end

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The answer should look something like this.

>> student_solution(pi/3,4)

series_sums = 0.8558 0.8663 0.8660 0.8660 approx_rel_error = 0.2236 0.0121 0.0003 0.0000 true_rel_error = 0.0118 -0.0003 0.0000 -0.0000

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please copy and paste the code here please. Thank you.