Maclaurin series for sin 2 x is: Write a matlab function that calculates right a

Question

Maclaurin series for sin2x is:

Write a matlab function that calculates right approximate value for sin2x with n-level maclaurin polynomial. Draw the function sin2x and 8. level maclaurin series on the range x ? [ -3/2pi, 3/2pi] on the same picture.

Maclaurin series for sin2x is: Sigma k=0 to infinity (-1)^k 2^2k+1/()2k+2)! X^2k+2 Write a matlab function that calculates right approximate value for sin2x with n-level maclaurin polynomial. Draw the function sin2x and 8. level maclaurin series on the range x ? [ -3/2pi, 3/2pi] on the same picture.

Explanation / Answer

clc;
close all ;
clear all;
syms x;

P=0;

for j =1:9 ;
i=j-1;
F(j)=(-1)^i*(2^(2*i+1))*x^(2*i+2)/(factorial(2*i+2));
P=P+F(j);
end

ezplot(x,P,[ -3/2*pi, 3/2*pi])
hold on
h=ezplot(x,(sin(x))^2, [ -3/2*pi, 3/2*pi])

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