● Calculating cos(x) Using Taylor Series Expansion on MATLAB

This program evaluates cosine function using "Taylor Series Expansion".

x=input('x= '); %Number that we will calculate its cosine

N=input('N= '); %Number of iteraritons

cosx=1; %Initial value cos(0)

truecos=cos(x) %True value of cos(x) calculated by Matlab command

for k=2:N

fact=1; %Initial value to calculate factorial

for i=1:(2*(k-1)) %for loop to calculate required factorial

fact=fact*i;

end

cosx=cosx+(-1)^(k+1)*x^(2*(k-1))/fact %calculation of cos(x)

error=(truecos-cosx)/truecos*100 %calculation of relative error

end