How to draw $\sin,\cos$ in the same graph using tikz

Question

please how to draw something like this

What do you have so far? (This is not a please do this for me service). Have a look at pgfplots then this drawing is very easy. Each of the two functions are just added with its own \addplot command. There are many examples in the pgfplots manual, on this site and elsewhere online. — daleif, Jan 27 '20 at 10:55

score 3 · Answer 1 · answered Jan 27 '20 at 12:07

\documentclass[tikz,border=3mm]{standalone}
\begin{document}
\begin{tikzpicture}[>=stealth,xscale=0.5]
    \def\pigr{3.14159}  
    %tela
    \draw[color=gray!50,very thin] (-9.2,-1.2) grid[ystep=0.5,xstep=\pigr/4] (9.2,1.2);
    %assi
    \draw[->] (-9.2,0) -- (9.2,0);
    \draw[->] (0,-1.4) -- (0,1.4);
    \node[above left] at (0,0) {$0$};
    \node[above left] at (0,1) {$1$};
    \node[left] at (0,-1) {$-1$};
    %tacche sugli assi
\foreach \pos/\et/\anch in {-2*\pigr/-2\pi/north west,-\pigr/-\pi/north east,\pigr/\pi/north east,2*\pigr/2\pi/north west}
    \draw[shift={(\pos,0)}] (0pt,2pt) -- (0pt,-2pt) node[anchor=\anch,inner sep=0pt] {\tiny$\et$};
    \draw[thick,blue,domain=-9.2:9.2,samples=200]
    plot (\x,{sin(\x r)});

    \draw[thick,red,domain=-9.2:9.2,samples=200]
    plot (\x,{cos(\x r)});
    \end{tikzpicture}
\end{document}

\foreach \dom in {-2,-1,...,2} \draw[thick,blue,domain=-(pi/4 + 0.1):(pi/4 + 0.1),samples=50,xshift=\dom*90] plot (\x,{tan(\x r)}); — vi pa, Jan 27 '20 at 18:43

Alain Matthes · Answer 2 · 2020-01-27T17:50:29.370

You have also : tkz-fct but this package needs an update

% !TEX TS-program = pdflatex
\documentclass[]{standalone}
\usepackage{tkz-fct}   


  \begin{document}
    \begin{tikzpicture}
      \tkzInit[xmin=-5,xmax=5,ymin=-2,ymax=2]
      \tkzGrid
      \tkzDrawX[trig=2]
      \tkzLabelX[trig=2,orig]
      \tkzAxeY
    { \color{red} \tkzFct[domain=-10:10]{sin(x)}}
    { \color{blue} \tkzFct[domain=-10:10]{cos(x)}}
     \end{tikzpicture}
 \end{document}

Zarko · Accepted Answer · 2020-01-27T22:59:56.530

With pgfplots:

\documentclass[border=3mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}

\begin{document}
    \begin{tikzpicture}
\begin{axis}[width=9cm,height=4cm,
    axis lines = middle,
    axis on top,
    grid=both,
    minor tick num=3,
    ticklabel style={fill=white,font=\scriptsize, inner sep=1pt},
    xmin=-535, xmax=535,
    xtick={-540,-360,-180, 0, 180, 360, 540},
    xticklabels={ ,$-2\pi$, $-\pi$, 0, $\pi$, $2\pi$, },
    ymin=-1.9, ymax=1.9,
    ytick={-2,-1,...,2},
    legend style={draw=none,fill=white, fill opacity=0.75, 
                  font=\scriptsize, text opacity=1, inner sep=1pt,
                  anchor=north east, at={(1,1)}, legend columns=-1},
    domain=-510:510,
    samples=181,
    no marks
            ]
\addplot +[red,thick] {sin(x)};
\addplot +[blue,thick] {cos(x)};
\legend{$\sin(x)$, $\cos(x)$}
\end{axis}
    \end{tikzpicture}
\end{document}

score 0 · Answer 4 · answered Jan 27 '20 at 11:09

0

Take a look at pgfmanual.pdf page 337. There is an example there:

\begin{tikzpicture}[domain=0:4]
\draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
\draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
\draw[color=red] plot (\x,\x) node[right] {$f(x) =x$};
% \x r means to convert ’\x’ from degrees to _r_adians:
\draw[color=blue] plot (\x,{sin(\x r)}) node[right] {$f(x) = \sin x$};
\draw[color=orange] plot (\x,{0.05*exp(\x)}) node[right] {$f(x) = \frac{1}{20} \mathrm e^x$};
\end{tikzpicture}

answered Jan 27 '20 at 11:09

I have to draw $\tan$ also and $cotan,sh,ch, th ,argsh, argch,...$ is it the same idea just put the name of the function ? @C.F.G ? – Poline Sandra Jan 27 '20 at 11:44
Yes, But some of them are not defined and I don't know which one. you can use the equivalent mathematical definition of them. – Jan 27 '20 at 11:49
how I can correct this please: \begin{tikzpicture}[domain=-4:4] \draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9); \draw[->] (-4.2,0) -- (4.2,0) node[right] {$x$}; \draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$}; % \x r means to convert ’\x’ from degrees to _r_adians: \draw[color=blue] plot (\x,{tan(\x r)}) node[right] {$f(x) = \tan x$};
\end{tikzpicture}
– Poline Sandra Jan 27 '20 at 11:59
What is the problem? its works very well. – Jan 27 '20 at 12:06
i want it like this: page5 http://doc.beechannels.com/baccalaureat/Fonctions%20circulaires.pdf – Poline Sandra Jan 27 '20 at 12:59
For more control on plots you could use pgfplots. See this answer for instance. – Jan 27 '20 at 16:34

How to draw $\sin,\cos$ in the same graph using tikz

4 Answers4