Creating a graph of sin(x) and the taylor series for its approximation

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Hami the Penguin 2019-9-24

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评论： miaofen li 2019-9-24

Hello,

I am having problem to solve a question given from my engineering class. The question asks to plot a graph of y1=sin(x), y2=x, and y3= x - x^3 / 3! + x^5 / 5!. This is the script which I coded:

clear all;

clc;

x=linspace(0,100,2*pi);

y1=sin(x);

y2=x;

y3=x-(x.^3)/factorial(3)+(x.^5)/factorial(5);

plot(x,y1,'-r')

hold on;

plot(x,y2,'--b')

hold on;

plot(x,y3,':g')

axis([0,5,-1,5])

xlabel('x')

ylabel('Approximations of sin(x)')

title('expanding Sinusoids')

grid on

legend({'sin(x)','x','taylor series'},'location','northwest')

And the graph looks completely wrong:

Can someone help me find my error and fix it?

Thank you.

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miaofen li 2019-9-24

replace the 'x=linspace(0,100,2pi)' with 'x=linspace(0,2pi,100)'

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Answer 1

Shubham Gupta 2019-9-24

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/481792-creating-a-graph-of-sin-x-and-the-taylor-series-for-its-approximation#answer_393221

在 MATLAB Online 中打开

Change the line

x=linspace(0,100,2*pi);

by

x=linspace(0,2*pi,100);

I hope it helps !

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Creating a graph of sin(x) and the taylor series for its approximation

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Creating a graph of sin(x) and the taylor series for its approximation

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