MATLAB: Question about Taylor Series While loop.

coscosineseriestaylortaylor series

I'm completely stuck on this While Loop using Taylor Series.
x = input('Input the angle in radians: ');
Cos_Estimate = 0;
k = 0;
Errrr = 1
while Errrr > .000001
if mod(k,2)
      Sign = 1;
  else
      Sign = -1;
  end
  k = k + 2;
  Cos_Estimate = Cos_Estimate + (x^k/(factorial(k)*Sign));
  Errrr = abs(Cos_Estimate - cos(x));
end
err = abs(Cos_Estimate - cos(x));
fprintf('The estimated cosine value based on the Taylor Series is: %0.6f \n',Cos_Estimate)
fprintf('The actual cosine value is : %0.6f \n',cos(x))
fprintf('The estimation error is: %0.6f \n',err)
fprintf('The number of terms required was: \n',term)
Now I am getting NaN for my variable. I'm stuck.

Best Answer

Try this
x = input('Input the angle in radians: ');
Cos_Estimate = 1;
Errrr=1
Sign = 1;
k = 0;
while Errrr > .000001 & k<60
  Sign =-Sign;
   k = k + 2;
   Cos_Estimate = Cos_Estimate + (x^k/(factorial(k)*Sign))
   Errrr = abs(Cos_Estimate - cos(x))
end
display(Cos_Estimate)
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