sinx=x−3!x3+5!x5−7!x7+9!x9−… where x is in radians. This function can be used to approximate the sine of x with incr
Posted: Thu Jul 14, 2022 2:19 pm
sinx=x−3!x3+5!x5−7!x7+9!x9−…
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−xA3/3 !. 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 orror values associated with the first N series summations. Use MATLAB's built-in sine function to compute the true value for this error calculation, Note: The first two test cases test the results for the first and second series sums respectively to aid in your deburniref process:
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−xA3/3 !. 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 orror values associated with the first N series summations. Use MATLAB's built-in sine function to compute the true value for this error calculation, Note: The first two test cases test the results for the first and second series sums respectively to aid in your deburniref process: