I am a complete tikz noob and just taking snippets of examples to draw my first diagram. To get my head around orientations I am starting with the polarizing microscope example

(http://www.texample.net/tikz/examples/polarizing-microscope/)

I am trying to now plot a sine wave starting from the origin and extending out along the x, y and z directions.

So far the x axis has been quite straight forward:

```
\documentclass[11pt]{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
[x={(0.866cm,-0.5cm)}, y={(0.866cm,0.5cm)}, z={(0cm,1cm)}, scale=1.0,
%Option for nice arrows
>=stealth, %
inner sep=0pt, outer sep=2pt,%
axis/.style={thick,->},
wave/.style={thick,color=#1,smooth},
polaroid/.style={fill=black!60!white, opacity=0.3},]
% Colors
\colorlet{darkgreen}{green!50!black}
\colorlet{lightgreen}{green!80!black}
\colorlet{darkred}{red!50!black}
\colorlet{lightred}{red!80!black}
% Frame
\coordinate (O) at (0, 0, 0);
\draw[axis] (O) -- +(14, 0, 0) node [right] {x};
\draw[axis] (O) -- +(0, 2.5, 0) node [right] {y};
\draw[axis] (O) -- +(0, 0, 2) node [above] {z};
\draw[thick,dashed] (-2,0,0) -- (O);
% Electric field vectors
\draw[wave=blue, variable=\x,samples at={0,0.25,...,10}]
plot (\x,{sin(2*\x r)},0)node[anchor=north]{$\vec{E}$};
\end{tikzpicture}
\end{document}
```

resulting in:

But now I have no idea how to change the 'axis' tikz chooses to draw the y and z sine wave. I have tried changing the variables but it just plots them directly over the x one.

## Best Answer

May be this is what you want:

ExplanationWhen you plot

`(\x,{sin(2*\x r)},0)`

, tikz plots`sin(2*\x r)`

in the`xy`

plane (in`x-`

direction) and`z`

is zero always. Say you want to plot the funtion in`xy`

plane (in`y-`

direction) and keeping`z`

zero, then you have to use`({sin(2*\y r)},\y,0)`

. Similarly for`yz`

plane with`x=0`

. Now you can try to change the planes in which the graph is plotted. For example, we want sine wave in`y`

direction and lying in`yz`

plane. Then you should usewhich will give