An alternative way for calculating sin(x) is to use its Taylor series as the fol

Question

An alternative way for calculating sin(x) is to use its Taylor series as the following: sinx)x-+ Create a function named "sin_taylor" in MATLAB. This function takes two inputs. First input is the angle, and the second input determines the number of terms in Taylor series for approximation. Check the fidelity of your function by running sin-taylor( 7) and compare it with the exact value of it. Hint: “factorial" is a built-in function that you can use for calculating factorial of an integer number. Use MATLAB documentation to find more about it. 3! 5!7!

Explanation / Answer

---------------------------------------------sin_taylor.m-----------------------------------------

function [ans] = sin_taylor(x, n)

    ans = 0;

   

   

   

    for i = 1 : n

       

        % if the term is an even term

        if mod(i, 2) == 0

           

            ans = ans - ( x ^ ( 2 * i - 1 ) ) / factorial( 2 * i - 1 );

           

        % if the term is an odd term

        else

           

            ans = ans + ( x ^ ( 2 * i - 1 ) ) / factorial( 2 * i - 1 );

           

        end

       

    end

end

-----------------------------------------main.m---------------------------------------------

sin_x = sin_taylor(pi / 6 , 7);

disp(sin_x);

Sample Output:

0.5000

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