Symbolic radian coordinates in pgfplots
Clash Royale CLAN TAG#URR8PPP
up vote
7
down vote
favorite
I want to create a graph like the one shown in the figure (it is done with Geogebra), where on the x-axis there are labels in radians (for example $pi/6, pi/4, pi/2$
etc.) with its relative unit of measurement and on the y-axis
values from $0$
to $+infty$
.
In the meantime I have a difficulty to put the labels relative to the respective function maximums (in radians) where between $0$
and $pi/2$
there are (5) five maximus of the green function $f(x)=|sin(10x)|$
. The violet function is $g(x)=10|cos(10x)|$
and between $0$
and $pi/2$
there are six (6) maximus.
Into my MWE there are some differences:
- I am not able to insert labels into radians (and for every maximum).
- I can't get the same graph as with Geogebra.
- I am not able to draw for the violet function for any point (for example
A
) its tangent to the graph to show that the slope is steeper than the green function.
Here my image with the MWE.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[
xmin=0,xmax=8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
addplot[color=red,domain=0:7*pi,samples=101] abs(sin(10*x));
addplot[color=green,domain=0:7*pi,samples=101] 10*abs(cos(10*x));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
I kindly ask for your valuable help and any improvement of my code is welcome. Thank you very much.
tikz-pgf labels
add a comment |Â
up vote
7
down vote
favorite
I want to create a graph like the one shown in the figure (it is done with Geogebra), where on the x-axis there are labels in radians (for example $pi/6, pi/4, pi/2$
etc.) with its relative unit of measurement and on the y-axis
values from $0$
to $+infty$
.
In the meantime I have a difficulty to put the labels relative to the respective function maximums (in radians) where between $0$
and $pi/2$
there are (5) five maximus of the green function $f(x)=|sin(10x)|$
. The violet function is $g(x)=10|cos(10x)|$
and between $0$
and $pi/2$
there are six (6) maximus.
Into my MWE there are some differences:
- I am not able to insert labels into radians (and for every maximum).
- I can't get the same graph as with Geogebra.
- I am not able to draw for the violet function for any point (for example
A
) its tangent to the graph to show that the slope is steeper than the green function.
Here my image with the MWE.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[
xmin=0,xmax=8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
addplot[color=red,domain=0:7*pi,samples=101] abs(sin(10*x));
addplot[color=green,domain=0:7*pi,samples=101] 10*abs(cos(10*x));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
I kindly ask for your valuable help and any improvement of my code is welcome. Thank you very much.
tikz-pgf labels
@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
1
Mille grazie!!!
– marmot
Sep 5 at 14:10
2
An off-topic suggestion: I noticed that you used the simple|
as your absolute value delimiter. This creates wrong spacing when used together withsin
orcos
. Instead, uselvertsin(10x)rvert
and observe the correct spacing between the opening|
and thesin
.
– Ruixi Zhang
Sep 7 at 0:59
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago
add a comment |Â
up vote
7
down vote
favorite
up vote
7
down vote
favorite
I want to create a graph like the one shown in the figure (it is done with Geogebra), where on the x-axis there are labels in radians (for example $pi/6, pi/4, pi/2$
etc.) with its relative unit of measurement and on the y-axis
values from $0$
to $+infty$
.
In the meantime I have a difficulty to put the labels relative to the respective function maximums (in radians) where between $0$
and $pi/2$
there are (5) five maximus of the green function $f(x)=|sin(10x)|$
. The violet function is $g(x)=10|cos(10x)|$
and between $0$
and $pi/2$
there are six (6) maximus.
Into my MWE there are some differences:
- I am not able to insert labels into radians (and for every maximum).
- I can't get the same graph as with Geogebra.
- I am not able to draw for the violet function for any point (for example
A
) its tangent to the graph to show that the slope is steeper than the green function.
Here my image with the MWE.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[
xmin=0,xmax=8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
addplot[color=red,domain=0:7*pi,samples=101] abs(sin(10*x));
addplot[color=green,domain=0:7*pi,samples=101] 10*abs(cos(10*x));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
I kindly ask for your valuable help and any improvement of my code is welcome. Thank you very much.
tikz-pgf labels
I want to create a graph like the one shown in the figure (it is done with Geogebra), where on the x-axis there are labels in radians (for example $pi/6, pi/4, pi/2$
etc.) with its relative unit of measurement and on the y-axis
values from $0$
to $+infty$
.
In the meantime I have a difficulty to put the labels relative to the respective function maximums (in radians) where between $0$
and $pi/2$
there are (5) five maximus of the green function $f(x)=|sin(10x)|$
. The violet function is $g(x)=10|cos(10x)|$
and between $0$
and $pi/2$
there are six (6) maximus.
Into my MWE there are some differences:
- I am not able to insert labels into radians (and for every maximum).
- I can't get the same graph as with Geogebra.
- I am not able to draw for the violet function for any point (for example
A
) its tangent to the graph to show that the slope is steeper than the green function.
Here my image with the MWE.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[
xmin=0,xmax=8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
addplot[color=red,domain=0:7*pi,samples=101] abs(sin(10*x));
addplot[color=green,domain=0:7*pi,samples=101] 10*abs(cos(10*x));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
I kindly ask for your valuable help and any improvement of my code is welcome. Thank you very much.
tikz-pgf labels
edited Sep 5 at 9:49
asked Sep 3 at 20:41
Sebastiano
7,68531553
7,68531553
@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
1
Mille grazie!!!
– marmot
Sep 5 at 14:10
2
An off-topic suggestion: I noticed that you used the simple|
as your absolute value delimiter. This creates wrong spacing when used together withsin
orcos
. Instead, uselvertsin(10x)rvert
and observe the correct spacing between the opening|
and thesin
.
– Ruixi Zhang
Sep 7 at 0:59
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago
add a comment |Â
@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
1
Mille grazie!!!
– marmot
Sep 5 at 14:10
2
An off-topic suggestion: I noticed that you used the simple|
as your absolute value delimiter. This creates wrong spacing when used together withsin
orcos
. Instead, uselvertsin(10x)rvert
and observe the correct spacing between the opening|
and thesin
.
– Ruixi Zhang
Sep 7 at 0:59
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago
@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
1
1
Mille grazie!!!
– marmot
Sep 5 at 14:10
Mille grazie!!!
– marmot
Sep 5 at 14:10
2
2
An off-topic suggestion: I noticed that you used the simple
|
as your absolute value delimiter. This creates wrong spacing when used together with sin
or cos
. Instead, use lvertsin(10x)rvert
and observe the correct spacing between the opening |
and the sin
.– Ruixi Zhang
Sep 7 at 0:59
An off-topic suggestion: I noticed that you used the simple
|
as your absolute value delimiter. This creates wrong spacing when used together with sin
or cos
. Instead, use lvertsin(10x)rvert
and observe the correct spacing between the opening |
and the sin
.– Ruixi Zhang
Sep 7 at 0:59
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
8
down vote
accepted
- You can use
deg
to convert to radians. - Are you asking about the coloring or the background grid?
- For the third part I use (a slightly modified version of) Jake's great answer.
- In order to add symbolic x ticks, I use a combination of this answer by Peter Grill and that answer by Faekynn.
As for the question why the output of my previous answer did not resemble the GeoCobra result: I copied your question before the edit and did not realize that you added the factor of 10. I fixed that now. Note also that, if you plot 7 periods, it is advantageous to set the number of samples to 7*integer+1
, which is why I use samples=99
instead of 101.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
usetikzlibraryintersections
usepackagefp % for frac
makeatletter % from https://tex.stackexchange.com/a/198046/121799
defparsenode[#1]#2pgf@nil%
tikzsetlabel node/.style=#1
defnodetext#2
tikzset
add node at x/.style 2 args=
name path global=plot line,
/pgfplots/execute at end plot visualization/.append=-rel axis cs:0,0) --
(axis cs:#1,0
makeatother
begindocument
% based on https://tex.stackexchange.com/a/34958/121799
foreach X [count=Y] in 0,...,7
pgfmathsetmacromyxX*pi/10
ifnumY=1
xdefLstXmyx
else
xdefLstXLstX,myx
fi
begintikzpicture
beginaxis[width=12cm,height=7cm,
tangent/.style args=at pos #1 with length #2
add node at x=#1
[
sloped,
append after command=(tikzlastnode.west) edge [thick, red!75!black] (tikzlastnode.east),
minimum width=#2
]
,
xtick=LstX,
xticklabel=pgfmathsetmacrotmpround(10*tick/pi)
pgfmathsetmacromygcdgcd(tmp,10)%
pgfmathtruncatemacromynumeratortmp/mygcd%
pgfmathtruncatemacromydenominator10/mygcd%
ifnummynumerator=0
$pgfmathprintnumber0$
else
ifnummynumerator=1
$fracpipgfmathprintnumbermydenominator$
else
$fracmynumeratorpipgfmathprintnumbermydenominator$
fi
fi, % https://tex.stackexchange.com/a/304032/121799
xmin=0,xmax=0.8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
%
addplot[color=red,domain=0:0.7*pi,samples=99] abs(sin(10*deg(x)));
addplot[color=green!60!black,domain=0:0.7*pi,samples=99,
tangent=at pos 0.1 with length 5cm] 10*abs(cos(10*deg(x)));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
8
down vote
accepted
- You can use
deg
to convert to radians. - Are you asking about the coloring or the background grid?
- For the third part I use (a slightly modified version of) Jake's great answer.
- In order to add symbolic x ticks, I use a combination of this answer by Peter Grill and that answer by Faekynn.
As for the question why the output of my previous answer did not resemble the GeoCobra result: I copied your question before the edit and did not realize that you added the factor of 10. I fixed that now. Note also that, if you plot 7 periods, it is advantageous to set the number of samples to 7*integer+1
, which is why I use samples=99
instead of 101.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
usetikzlibraryintersections
usepackagefp % for frac
makeatletter % from https://tex.stackexchange.com/a/198046/121799
defparsenode[#1]#2pgf@nil%
tikzsetlabel node/.style=#1
defnodetext#2
tikzset
add node at x/.style 2 args=
name path global=plot line,
/pgfplots/execute at end plot visualization/.append=-rel axis cs:0,0) --
(axis cs:#1,0
makeatother
begindocument
% based on https://tex.stackexchange.com/a/34958/121799
foreach X [count=Y] in 0,...,7
pgfmathsetmacromyxX*pi/10
ifnumY=1
xdefLstXmyx
else
xdefLstXLstX,myx
fi
begintikzpicture
beginaxis[width=12cm,height=7cm,
tangent/.style args=at pos #1 with length #2
add node at x=#1
[
sloped,
append after command=(tikzlastnode.west) edge [thick, red!75!black] (tikzlastnode.east),
minimum width=#2
]
,
xtick=LstX,
xticklabel=pgfmathsetmacrotmpround(10*tick/pi)
pgfmathsetmacromygcdgcd(tmp,10)%
pgfmathtruncatemacromynumeratortmp/mygcd%
pgfmathtruncatemacromydenominator10/mygcd%
ifnummynumerator=0
$pgfmathprintnumber0$
else
ifnummynumerator=1
$fracpipgfmathprintnumbermydenominator$
else
$fracmynumeratorpipgfmathprintnumbermydenominator$
fi
fi, % https://tex.stackexchange.com/a/304032/121799
xmin=0,xmax=0.8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
%
addplot[color=red,domain=0:0.7*pi,samples=99] abs(sin(10*deg(x)));
addplot[color=green!60!black,domain=0:0.7*pi,samples=99,
tangent=at pos 0.1 with length 5cm] 10*abs(cos(10*deg(x)));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
add a comment |Â
up vote
8
down vote
accepted
- You can use
deg
to convert to radians. - Are you asking about the coloring or the background grid?
- For the third part I use (a slightly modified version of) Jake's great answer.
- In order to add symbolic x ticks, I use a combination of this answer by Peter Grill and that answer by Faekynn.
As for the question why the output of my previous answer did not resemble the GeoCobra result: I copied your question before the edit and did not realize that you added the factor of 10. I fixed that now. Note also that, if you plot 7 periods, it is advantageous to set the number of samples to 7*integer+1
, which is why I use samples=99
instead of 101.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
usetikzlibraryintersections
usepackagefp % for frac
makeatletter % from https://tex.stackexchange.com/a/198046/121799
defparsenode[#1]#2pgf@nil%
tikzsetlabel node/.style=#1
defnodetext#2
tikzset
add node at x/.style 2 args=
name path global=plot line,
/pgfplots/execute at end plot visualization/.append=-rel axis cs:0,0) --
(axis cs:#1,0
makeatother
begindocument
% based on https://tex.stackexchange.com/a/34958/121799
foreach X [count=Y] in 0,...,7
pgfmathsetmacromyxX*pi/10
ifnumY=1
xdefLstXmyx
else
xdefLstXLstX,myx
fi
begintikzpicture
beginaxis[width=12cm,height=7cm,
tangent/.style args=at pos #1 with length #2
add node at x=#1
[
sloped,
append after command=(tikzlastnode.west) edge [thick, red!75!black] (tikzlastnode.east),
minimum width=#2
]
,
xtick=LstX,
xticklabel=pgfmathsetmacrotmpround(10*tick/pi)
pgfmathsetmacromygcdgcd(tmp,10)%
pgfmathtruncatemacromynumeratortmp/mygcd%
pgfmathtruncatemacromydenominator10/mygcd%
ifnummynumerator=0
$pgfmathprintnumber0$
else
ifnummynumerator=1
$fracpipgfmathprintnumbermydenominator$
else
$fracmynumeratorpipgfmathprintnumbermydenominator$
fi
fi, % https://tex.stackexchange.com/a/304032/121799
xmin=0,xmax=0.8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
%
addplot[color=red,domain=0:0.7*pi,samples=99] abs(sin(10*deg(x)));
addplot[color=green!60!black,domain=0:0.7*pi,samples=99,
tangent=at pos 0.1 with length 5cm] 10*abs(cos(10*deg(x)));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
add a comment |Â
up vote
8
down vote
accepted
up vote
8
down vote
accepted
- You can use
deg
to convert to radians. - Are you asking about the coloring or the background grid?
- For the third part I use (a slightly modified version of) Jake's great answer.
- In order to add symbolic x ticks, I use a combination of this answer by Peter Grill and that answer by Faekynn.
As for the question why the output of my previous answer did not resemble the GeoCobra result: I copied your question before the edit and did not realize that you added the factor of 10. I fixed that now. Note also that, if you plot 7 periods, it is advantageous to set the number of samples to 7*integer+1
, which is why I use samples=99
instead of 101.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
usetikzlibraryintersections
usepackagefp % for frac
makeatletter % from https://tex.stackexchange.com/a/198046/121799
defparsenode[#1]#2pgf@nil%
tikzsetlabel node/.style=#1
defnodetext#2
tikzset
add node at x/.style 2 args=
name path global=plot line,
/pgfplots/execute at end plot visualization/.append=-rel axis cs:0,0) --
(axis cs:#1,0
makeatother
begindocument
% based on https://tex.stackexchange.com/a/34958/121799
foreach X [count=Y] in 0,...,7
pgfmathsetmacromyxX*pi/10
ifnumY=1
xdefLstXmyx
else
xdefLstXLstX,myx
fi
begintikzpicture
beginaxis[width=12cm,height=7cm,
tangent/.style args=at pos #1 with length #2
add node at x=#1
[
sloped,
append after command=(tikzlastnode.west) edge [thick, red!75!black] (tikzlastnode.east),
minimum width=#2
]
,
xtick=LstX,
xticklabel=pgfmathsetmacrotmpround(10*tick/pi)
pgfmathsetmacromygcdgcd(tmp,10)%
pgfmathtruncatemacromynumeratortmp/mygcd%
pgfmathtruncatemacromydenominator10/mygcd%
ifnummynumerator=0
$pgfmathprintnumber0$
else
ifnummynumerator=1
$fracpipgfmathprintnumbermydenominator$
else
$fracmynumeratorpipgfmathprintnumbermydenominator$
fi
fi, % https://tex.stackexchange.com/a/304032/121799
xmin=0,xmax=0.8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
%
addplot[color=red,domain=0:0.7*pi,samples=99] abs(sin(10*deg(x)));
addplot[color=green!60!black,domain=0:0.7*pi,samples=99,
tangent=at pos 0.1 with length 5cm] 10*abs(cos(10*deg(x)));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
- You can use
deg
to convert to radians. - Are you asking about the coloring or the background grid?
- For the third part I use (a slightly modified version of) Jake's great answer.
- In order to add symbolic x ticks, I use a combination of this answer by Peter Grill and that answer by Faekynn.
As for the question why the output of my previous answer did not resemble the GeoCobra result: I copied your question before the edit and did not realize that you added the factor of 10. I fixed that now. Note also that, if you plot 7 periods, it is advantageous to set the number of samples to 7*integer+1
, which is why I use samples=99
instead of 101.
documentclassarticle
usepackagetikz,amsmath
usepackagepgfplots
usetikzlibraryintersections
usepackagefp % for frac
makeatletter % from https://tex.stackexchange.com/a/198046/121799
defparsenode[#1]#2pgf@nil%
tikzsetlabel node/.style=#1
defnodetext#2
tikzset
add node at x/.style 2 args=
name path global=plot line,
/pgfplots/execute at end plot visualization/.append=-rel axis cs:0,0) --
(axis cs:#1,0
makeatother
begindocument
% based on https://tex.stackexchange.com/a/34958/121799
foreach X [count=Y] in 0,...,7
pgfmathsetmacromyxX*pi/10
ifnumY=1
xdefLstXmyx
else
xdefLstXLstX,myx
fi
begintikzpicture
beginaxis[width=12cm,height=7cm,
tangent/.style args=at pos #1 with length #2
add node at x=#1
[
sloped,
append after command=(tikzlastnode.west) edge [thick, red!75!black] (tikzlastnode.east),
minimum width=#2
]
,
xtick=LstX,
xticklabel=pgfmathsetmacrotmpround(10*tick/pi)
pgfmathsetmacromygcdgcd(tmp,10)%
pgfmathtruncatemacromynumeratortmp/mygcd%
pgfmathtruncatemacromydenominator10/mygcd%
ifnummynumerator=0
$pgfmathprintnumber0$
else
ifnummynumerator=1
$fracpipgfmathprintnumbermydenominator$
else
$fracmynumeratorpipgfmathprintnumbermydenominator$
fi
fi, % https://tex.stackexchange.com/a/304032/121799
xmin=0,xmax=0.8*pi,
xlabel=$x$,
ymin=0,ymax=10,
axis on top,
legend style=legend cell align=right,legend plot pos=right]
%
addplot[color=red,domain=0:0.7*pi,samples=99] abs(sin(10*deg(x)));
addplot[color=green!60!black,domain=0:0.7*pi,samples=99,
tangent=at pos 0.1 with length 5cm] 10*abs(cos(10*deg(x)));
addlegendentrysin(10x)
addlegendentry$g(x)=10
endaxis
endtikzpicture
enddocument
edited Sep 3 at 22:09
answered Sep 3 at 20:48


marmot
56.2k461123
56.2k461123
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@marmot Done! I always listen to the best when they're right. :-)
– Sebastiano
Sep 5 at 9:59
1
Mille grazie!!!
– marmot
Sep 5 at 14:10
2
An off-topic suggestion: I noticed that you used the simple
|
as your absolute value delimiter. This creates wrong spacing when used together withsin
orcos
. Instead, uselvertsin(10x)rvert
and observe the correct spacing between the opening|
and thesin
.– Ruixi Zhang
Sep 7 at 0:59
@RuixiZhang Next time I'll try to change the code. Now I'm connected to a lucky location and I hope to remember to make the change. Thank you and always good work. You're very talented.
– Sebastiano
2 days ago