Inclined sine wave in TikZ

tikz-pgf

I am able to a horizontal sine wave using the below code.

\draw[domain = 0:4] plot [smooth] (\x,{0.4 * sin(\x * pi/2 r)});

How to draw an inclined sine wave using TikZ? Something similar to the following image:

Best Answer

\documentclass[tikz, border=1cm]{standalone}
\begin{document}
\begin{tikzpicture}
\draw (0,0) -- (2,0) cos (3,1) sin (4,2) -- (6,2);
\end{tikzpicture}
\end{document}

Related Solutions

[Tex/LaTex] TikZ: How to draw a sine curve in 3D

It is possible, but it does not neccessarily help understanding. The first is a rotation with constant angular velocity about the z-axis, which you probably get from the picture. But it gets quite incomprehendable from there: I wouldn't know what the second one is.

So I started experimenting. The next two explore the possibility to draw surfaces connecting to the xy-plane with or without the actual line drawn.

Then I fried connections via radial lines, which just looks ugly.

Lastly, I tried surfaces connectiong radially to the z-axis.

Let me know if anything at least comes remotely to what you were looking for.

\documentclass[parskip]{scrartcl}
\usepackage[margin=15mm,a3paper,landscape]{geometry}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*100)},{sin(\z*100)},{\z})
};
\node[rotate=90,right=1cm] at (0,0,12) {normal rotation};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*200)},{sin(\z*100)},{\z})
};
\node[rotate=90,right=1cm] at (0,0,12) {WTF?};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*189)},{sin(\z*91)},{\z})
};
\foreach \z in {0,0.1,...,9.9}
{\fill[gray,opacity=0.2] ({cos(\z*189)},{sin(\z*91)},0) -- ({cos(\z*189)},{sin(\z*91)},{\z}) -- ({cos((\z+0.1)*189)},{sin((\z+0.1)*91)},{\z+0.1}) -- ({cos((\z+0.1)*189)},{sin((\z+0.1)*91)},0) -- cycle;
}
\node[rotate=90,right=1cm] at (0,0,12) {to floor, gray};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\foreach \z in {0,0.1,...,9.9}
{   \pgfmathtruncatemacro{\mycolorpercentage}{\z/0.099}
    \fill[red!\mycolorpercentage!blue,opacity=0.1] ({cos(\z*210)},{sin(\z*42)},0) -- ({cos(\z*210)},{sin(\z*42)},{\z}) -- ({cos((\z+0.1)*210)},{sin((\z+0.1)*42)},{\z+0.1}) -- ({cos((\z+0.1)*210)},{sin((\z+0.1)*42)},0) -- cycle;
}
\node[rotate=90,right=1cm] at (0,0,12) {to floor, color gradient};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*207)},{sin(\z*101)},{\z})
};
\foreach \z in {0,0.1,...,10}
{ \draw[opacity=0.5,gray] ({cos(\z*207)},{sin(\z*101)},{\z}) -- (0,0,\z);
}
\node[rotate=90,right=1cm] at (0,0,12) {radial lines};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*237)},{sin(\z*111)},{\z})
};
\foreach \z in {0,0.1,...,9.9}
{ \fill[opacity=0.5,gray] (0,0,\z) -- ({cos(\z*237)},{sin(\z*111)},{\z}) -- ({cos((\z+0.1)*237)},{sin((\z+0.1)*111)},{(\z+0.1)}) -- (0,0,{(\z+0.1)}) -- cycle;
}
\node[rotate=90,right=1cm] at (0,0,12) {radial surfaces, gray};
\end{tikzpicture}
\begin{tikzpicture}[x={(0.707cm,0.707cm)},z={(0cm,1cm)},y={(-0.866cm,0.5cm)}]
\draw[->] (-2,0,0) -- (2,0,0) node[right] {x};
\draw[->] (0,-2,0) -- (0,2,0) node[left] {y};
\draw[->] (0,0,-2) -- (0,0,12) node[above] {z};
\draw (1,0,0)
\foreach \z in {0,0.1,...,10}
{ -- ({cos(\z*37)},{sin(\z*219)},{\z})
};
\foreach \z in {0,0.1,...,9.9}
{ \pgfmathtruncatemacro{\mycolorpercentage}{\z/0.099}
    \fill[opacity=0.3,orange!\mycolorpercentage!cyan] (0,0,\z) -- ({cos(\z*37)},{sin(\z*219)},{\z}) -- ({cos((\z+0.1)*37)},{sin((\z+0.1)*219)},{(\z+0.1)}) -- (0,0,{(\z+0.1)}) -- cycle;
}
\node[rotate=90,right=1cm] at (0,0,12) {radial, color gradient};
\end{tikzpicture}

\end{document}

enter image description here

[Tex/LaTex] Plot sine curve inside tikz file

Just for fun! [2]

Now with tikz.

enter image description here

\documentclass{standalone}

\usepackage{tikz}

\usetikzlibrary{arrows}
\usetikzlibrary{calc}
\usetikzlibrary{intersections}

\tikzset{
    tips/.style = {
        triangle 45-triangle 45
        , font = \it
    }
}

\begin{document}
    \begin{tikzpicture}
        \pgfmathsetlengthmacro{\a}{5cm}
        \pgfmathsetlengthmacro{\b}{8cm}
        \pgfmathsetlengthmacro{\billedplan}{\a - \b}

        \draw [thick] (-4, 0) -- (4, 0) node [right] {Vannoverflate (linse)};
        \draw [thick, name path = bill] (-4, \billedplan) -- (4, \billedplan) node [below right] {Billedplan};

        \draw [tips] (-4.5, \billedplan) -- (-4.5, \a) node [midway, left] {b};
        \draw [tips] (-3.5, 0) -- (-3.5, \a) node [midway, left] {a};

        \draw[red, thick, domain = -2:2] plot [smooth] (\x,{0.3 * sin(\x * pi  r)});

        \coordinate (ref) at (0.5, \a); 
        \node [right] at (ref) {Lyskilde};

        \coordinate (sin A) at ($(-1.5, 0.3 * sin(-1.5 * pi  r)$);
        \coordinate (aux A) at ($(ref)!1.1 * \b!(sin A)$);

        \coordinate (sin B) at ($(0.5, 0.3 * sin(0.5 * pi  r)$);

        \path [name path = a] (ref) -- (aux A);
        \fill [name intersections = {of= bill and a, by = i}];

        \draw [thick] (ref) -- (i);
        \draw [thick] (ref) -- (-2, 0) -- (i);
        \draw [thick] (ref) -- (-1, 0) -- (i);

        \draw [thick] (ref) -- (0.5, \billedplan);
        \draw [thick] (ref) -- (0, 0) -- (0.5, \billedplan);
        \draw [thick] (ref) -- (1, 0) -- (0.5, \billedplan);

        \path (-1, 0) -- (0, 0) node [midway, above] {$\lambda$};
        \path (i) -- (0.5, \billedplan) node [midway, above] {$\lambda'$};

    \end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] TikZ: How to draw a sine curve in 3D

[Tex/LaTex] Plot sine curve inside tikz file

Related Question