An alternative way for calculating sin(x) is to use its Taylor series as the following: sinx)x-+...

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engineering Computer-Science

Answer 1

Answer #1

---------------------------------------------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

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

sin_x = sin_taylor(pi / 6 , 7);

disp(sin_x);

Sample Output:

0.5000

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Answer 2

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