Sondasaprinconm
Answered

Write a MATLAB code for the following problem:


determine the number of terms necessary to approximate cosx to 8 significant figures using the Maclaurin series approximation. use x=0.3pi


cosx=1−(x2/2)+(x4/4!)−(x6/6!)+(x8/8!)

Verified Answer :

meerkat18

Here is matlab that should work

% cos(x) = 1 - (x^2)/2! + (x^4)/4! -(x^6)/6!+(x^8)/8!...
% let y= xx
% cos(x) = sum( (-y)^n/(2n)! )
format short
x= 0.3pi;
y= xx;
for N= 1:6
n= 0:N;
s1= [(-y).^n./factorial(2n) ]
mac= sum(s1);
cx= cos(x);
str= sprintf('%d terms. series: %12.10f cos(x): %12.10f
%12.10f',...
N, mac,cx, (cx-mac));
disp(str);
end;

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