Matlab code for Maclaurin series expansion using cos(x) =1 and iterating adding a term at a time until I have an estimate for Cos(pi/3)?

What is a good way to write the Maclaurin series expansion for cos(x), beginning with cos(x)=1 and adding terms one at a time to estimate cos(pi/3)? I want to also return the estimate at each iteration.

Answer 1

[James Tursa]

Google Maclaurin expansion of cosx

Go to the first link

http://blogs.ubc.ca/infiniteseriesmodule/units/unit-3-power-series/taylor-series/the-maclaurin-expansion-of-cosx/

Scroll to the bottom of the page.

Look at the pattern for successive terms and code that up.

Answer 2

[Nikhil]

syms x 
myfun=cos(x);
x0=0;
N=6;
y0=subs(myfun,x0);
y=y0
forn=1:N

forn = 1×6

1 2 3 4 5 6

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derivative=diff(myfun,n);

Unrecognized function or variable 'n'.

y=((x-xx0)^n/factorial(n)*subs(derivative,x0));