% Taylor_sin.m
% Example of Taylor polynomial : sin(x)
% function y = Taylor_sin(n,x,a)
function p = Taylor1(n,x,a)
p = sin(a)*ones(size(x));
for k=1:n
Dkf = Dk_sin(a,k);
p = p + Dkf*(x-a).^k/factorial(k);
end
subplot(1,2,1); plot(x,sin(x),x,p,'m',a,sin(a),'ro')
tie = ['Taylor polynomial of degree ', num2str(n),' for f(x)=sin(x).'];
title(tie); grid
subplot(1,2,2); plot(x,sin(x)-p,a,sin(a),'ro')
title('Error plot of sin(x) and its Taylor polynomial')
function y = Dk_sin(a,k)
if rem(k,4)==0
y = sin(a);
elseif rem(k,4)==1
y = cos(a);
elseif rem(k,4)==2
y = -sin(a);
else
y = -cos(a);
end
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이름검색
bisect_exa1.m
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