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Nicx R
Asked: 2021-10-18 14:25:56 +0800 CST 2021-10-18 14:25:56 +0800 CST

How to graph sin(25x)?

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I have tried to graph some trigonometric functions in LaTex and I succeeded but I couldn't with this sin(8πx) which could be approximated as sin(25x) but it seems that the bigger the number that multiplies x, the more LaTex starts to show the graph every time more deformed until it no longer shows it. Is there a way to graph that function?

This is my code:

\begin{center}
\begin{tikzpicture}
\draw [->] (-3.5,0) -- (3.5,0) node[below] {$x$};
\draw [->] (0,-1.5) -- (0,1.5) node[left] {$y$};
\draw (3.14,0) node[below] {$\pi$};
\draw (-3.14,0) node[below] {$-\pi$};
\draw [color=olive, thick,domain=-3.14:3.14] plot (\x,{sin(25*\x r)});
\end{tikzpicture}
\end{center}

In image 1 you see sin(20x). In image 2 it shows me sin(25x)

This is what sin(20x) looks like

And for some reason it shows me sin(25x)

latex

1 Answers

  1. Best Answer

    I can think of two changes, to begin with, use it smoothto smooth the connections of the points and finally, play with the parameter samplesto generate more points. Something like this:

    \begin{tikzpicture}
\draw [->] (-3.5,0) -- (3.5,0) node[below] {$x$};
\draw [->] (0,-1.5) -- (0,1.5) node[left] {$y$};
\draw (3.14,0) node[below] {$\pi$};
\draw (-3.14,0) node[below] {$-\pi$};
\draw [color=olive, smooth, thick, domain=-3.14:3.14, samples=29] plot (\x,{sin(25*\x r)});
\end{tikzpicture}

    '

    Result:

    enter image description here

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