Image:Taylorsine.svg

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Taylorsine.svg‎ (1600 × 1200 pixel, file size: 9 KB, MIME type: image/svg+xml)

[edit] Summary

The sine function and its 5th-degree Taylor polynomial, $f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!}$

[edit] Instructions

Generated with the following gnuplot script, manually colour-matched with the previous chart here for consistency.

set terminal svg size 1600 1200 fname "Times New Roman" fsize 48
set output "taylorsine.svg"
set xzeroaxis lt 0 lw 4
set yzeroaxis lt 0 lw 4
unset border
set key box
set samples 200

set bmargin 0
set lmargin 0
set rmargin 0
set tmargin 0

set xtics axis ("-2π" -2*pi, "-π" -pi, "π" pi, "2π" 2*pi)
set mxtics 2

set ytics axis ("" -5, "" -4, "" -3, "" -2, "" -1, "" 1, "" 2, "" 3, "" 4, "" 5)
set mytics 20

set xrange [-3*pi:3*pi]
set yrange [-5:5]

f(x) = x - (x**3/3!) + (x**5/5!)

plot sin(x) lt 10 lw 4, f(x) lt 12 lw 4

[edit] Licensing

I, the creator of this work, hereby release it into the public domain. This applies worldwide.
In case this is not legally possible,
I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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(del) (cur) 09:55, 14 March 2006 . . Ktims (Talk | contribs) . . 1600×1200 (8,789 bytes) (The sine function and its 7th-degree Taylor polynomial, <math>f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}</math>)
(del) (rev) 07:27, 14 March 2006 . . Ktims (Talk | contribs) . . 1600×1200 (7,491 bytes) (The sine function and its 7th-degree Taylor polynomial, <math>f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}</math>)
(del) (rev) 05:29, 14 March 2006 . . Ktims (Talk | contribs) . . 1600×1200 (7,368 bytes) (The sine function and its 7th-degree Taylor polynomial (<math>f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}</math>)
(del) (rev) 05:26, 14 March 2006 . . Ktims (Talk | contribs) . . 1600×1200 (7,361 bytes) (The sine function and its 7th-degree Taylor polynomial (<math>f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}</math>)