Question

Matlab Help

I understand and already did 2a. Need help with the Matlab part (2b).

2. (15 points) The Maclaurin series expansion of sin(x) is given by 3 sin)39 estimate the true value of sin(T/3). Calculate the truncation error (true percent relative error). (error between current and previous estimate) falls below 0.01%. Document the final value, the (a) Use the first three terms in this equation to calculate the value of sin(T/3). Use your calculator to (b) Now write a MATLAB program that adds the terms until the approximate percent relative error percent relative error (approximate and true), and the number of iterations it took.

Answer 1

Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clc
clear all
sum=0;
prev=0;
err=1;
count=0;
flag=1;
i=1;
x=pi/3;
while(abs(err)>0.01)
prev=sum;
sum=sum+flag*(x^i)/factorial(i);
flag=0-flag;
i=i+2;
count=count+1;
err=(sum-prev)*100;
end
disp('Final value')
sum
disp('Number of iterations')
count
disp('True error')
abs(sum-sin(x))
disp('Approximate error')
err

Kindly revert for any queries

Thanks.