Sintay_SVG.svg

Summary

Description
English: Sin(x) and its Taylor approximations, polynomials of degree 1 , 3 , 5 , 7 , 9 , 11 and 13 . Even degrees add no fidelity because Sin(a) = 0, since a = 0.
العربية: دالة الجيب وتقريبات تايلور الخاصة بها، كثيرات الحدود من الدرجات 1 ، و 3 ، و 5 ، و 7 ، و 9 ، و 11 و 13 . الحدود الزوجية معدومة لأن Sin(a) = 0، بما أن a = 0.
Date
Source Own work
Author IkamusumeFan
SVG development
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The SVG code is valid .
This diagram was created with Gnuplot .
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Source code
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Gnuplot code 

#!/usr/bin/gnuplot
# Author: Qualc1, 4 Aug 2006
# Enhanced: Ika, 24 Aug 2013
# last changes:
# 2018-01-28: (JoKalliauer) added shebang
# 2018-01-28: (JoKalliauer) one plot instead of multiple over each other
# 2018-01-28: (JoKalliauer) changed Times to 'Liberation Serif'
set terminal svg size 1000 1000 fixed enhanced fname 'Liberation Serif' font 'Liberation Serif, 36'
set output "Sintay.svg"

set samples 2000

set autoscale fix
set xrange [-10:10]
set yrange [-10:10]

set grid
set xtics -10,2,10
set ytics -10,2,10
set xzeroaxis linewidth 2.5
set yzeroaxis linewidth 2.5

set nokey

unset border
set multiplot
plot x lw 4 lc rgb "red", \
     x-x**3/3! lw 4 lc rgb "orange", \
     x-x**3/3!+x**5/5! lw 4 lc rgb "yellow", \
     x-x**3/3!+x**5/5!-x**7/7! lw 4 lc rgb "green", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9! lw 4 lc rgb "blue", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11! lw 4 lc rgb "#4B0082", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11!+x**13/13! lw 4 lc rgb "violet", \
     sin(x) lw 4 lc rgb "black"
unset multiplot

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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You are free:
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Taylor Series of sin(x)

Items portrayed in this file

depicts

inception

24 August 2013