implementing taylor series with loop

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George 2013-2-18

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I want to implement taylor series for sinx with loop.

So , :

angle=input('Insert angle in degrees\n');
x=angle*2*pi/360; %convert to radians because the equation is in radians
eps=0.000001;%accuracy
sumation=0;
err=1;%error
n=0;
while err>eps
      term=((((-1)^n)/factorial(2*n+1))*(x^2*n +1));
      sumation=sumation+term;
      err=abs((sumation-term)/term);
      n=n+1;
  end
  result=sumation

I think the problem is in computing the error.The error = ((sum(n)-sum(n-1))/sum(n-1)). I tried it also with sumation as a vector but still with no success.

Thanks!

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Image Analyst 2013-2-18

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Is this homework? Don't compare the small latest term you are adding on (say 0.003) to the whole sum (say .707 for 45 degrees). Those are the wrong things to compare. Either compare the sum to the true value (sind(angle)) or compare your latest term to the prior term, which means you'd have to make term an array.

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George 2013-2-19

Ok, thanks now I understand!

George 2013-2-19

编辑：George 2013-2-19

I had one mistake : term(index) = ((((-1)^n)/factorial(2*n+1))*(x^(2*n +1))); The "x^(2*n+1)".I corrected this and also added "result=sind(sumation)" but I still don't get right results.... The formula is : http://www.wolframalpha.com/input/?i=taylor+series+sin+x...

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