Graphics, Figures & Tables ⇒ pgfplots | Arcsine Function Graph

[sachinrajsharma]

Hi,

I am unable to get the output from the presented code and it is showing some error.

Code: Select all

\documentclass[10pt,a4paper]{article}
\usepackage{tikz}
\usepackage{pgfplots}

\begin{document}

y = sin^{-1}x

\begin{tikzpicture}
    \begin{axis}[
      xmin=-6,
      xmax=6,
      xlabel={$x$},
      ymin=-2,
      ymax=2,
      ylabel={$y$},
      axis x line=middle,
      axis y line=middle,
      axis line style=<->
    ]
      \addplot[no marks,blue,<->] expression[samples=100]{sin^{-1}(deg(x))};
      \addlegendentry{$y=\csc(x)$};
    \end{axis}
  \end{tikzpicture}
\end{document}

Please guide whether it is correct code to draw inverse trigonometric function graphs .


Regards,
Sachin Sharma

[localghost]

There are two mistakes in your code.

1. For in-line math expressions you need to use the corresponding math mode.

   Code: Select all

   $y = \sin^{-1}x$

   But this is usually written with the respective math operator as $y=\arcsin(x)$.
2. The corresponding expression for plotting is asin(x) in the actual plot command.

The corrected example.

Code: Select all

\documentclass[11pt]{standalone}
\usepackage{pgfplots}

\begin{document}
  \begin{tikzpicture}
    \begin{axis}[
      xmin=-2,
      xmax=2,
      xlabel={$x$},
      ymin=-3,
      ymax=3,
      ylabel={$y$},
      axis x line=middle,
      axis y line=middle,
      axis line style=<->
    ]
      \addplot[domain=-1:1,no marks,blue,<->] gnuplot[samples=100] {asin(x)};
      \addlegendentry{$y=\arcsin(x)$};
    \end{axis}
  \end{tikzpicture}
\end{document}

Notes:

• Since pgfplots is not exact enough here, let Gnuplot do the job of calculating the arcsine function (see above).
• The domain has to be restricted to [-1,1] (see above).

Remarks:

• Please get used to dropping irrelevant erroneous code because it distracts from the actual problem (see point #1 above).

Further reading:

• The PGF manual (regarding allowed mathematical expressions and functions)

Thorsten

[sachinrajsharma]

Hi,

It is still showing the following error :

Code: Select all

! Missing number, treated as zero.
<to be read again> 
                   \pgfmath@acos@5000 
l.19 ...lue,<->] expression[samples=100]{asin(x)};

Please help.


Sachin Sharma

[localghost]

You should run the example I provided and replace expression by gnuplot.

[sachinrajsharma]

Hi,
Thanks for your guidance , however i am still not getting the output. Could you please tell me any source wherein I can get the detail study material on drawing arctrigo function.

Thanks on this.

Regards,

Sachin

[localghost]

[…] Could you please tell me any source wherein I can get the detail study material on drawing arctrigo function. […]

I have done so in my first reply under "Further reading".