Please show exactly how it is in MATLAB The cosine function can be evaluated by

Question

Please show exactly how it is in MATLAB

The cosine function can be evaluated by the following infinite series: cos = 1 ^2/ 2! + ^4/ 4! ^6 /6! + Create an M-file to compute cos(1.2345 rad) for up to and including eight terms, which is up to the term x^14/14!.

a) Your program should compute and display the values of cos as each term in the series is added, e.g.

cos = 1

cos = 1 ^2/ 2!

cos = 1 ^2 /2! + ^4/ 4!

b) Compute and display the true relative error as a percentage = true valueseries approximation true value × 100%

Explanation / Answer

ANS:

CODE:

clc;
clear all;
close all;
n=input(' Enter the number of terms u want in expantion ');
% % let x= pi/6
x=pi/3;
sum=0;
for k=0:n
sum=sum+(-1)^k*x^(2*k)/factorial(2*k);
cosx=sum;
cosx
p_err=abs(cos(x)-cosx)/cosx*100
  
end

output:

Enter the number of terms u want in expantion 3

cosx =

1

p_err =

50.0000

cosx =

0.4517

p_err =

10.6957

cosx =

0.5018

p_err =

0.3580

cosx =

0.5000

p_err =

0.0071

IF YOU HAVE ANY DOUBTS COMMENT BELOW RATE THUMBSUP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

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