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enter image description here

I want to plot a trigonometry function (for example : $\lfloor 2\cos x\rfloor$) using Mathematica. And I want to scaling x axis using multiples of $\pi$ . For example $\frac{\pi}{2}$ , $\pi$ , $\frac{3\pi}{2}$ and $2\pi$. But in the graph doesn't show exact point of roots.

Please Help!

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    $\begingroup$ stackoverflow.com/questions/8936579/… $\endgroup$
    – Alan
    Dec 3, 2016 at 20:33
  • $\begingroup$ @Alan Thank you , But it doesn't show exact values of roots in the graph versus $\pi$ multiples. $\endgroup$
    – S.H.W
    Dec 3, 2016 at 20:47

1 Answer 1

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sol = Sort@
  DeleteDuplicates@
   Cases[Table[
     Reduce[Floor[2 Cos[x]] == i && 0 < x < 2 Pi, x], {i, -2, 2}], 
   _Times, Infinity]

enter image description here

ticks = Transpose@{sol, sol};

Plot[Floor[2 Cos[x]], {x, 0, 2 Pi}, Mesh -> {Range[-2, 2]}, 
 MeshFunctions -> {#2 &}, MeshStyle -> Directive[Red, PointSize[.02]],
  Ticks -> {ticks, Automatic}, Filling -> Axis]

enter image description here

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  • $\begingroup$ Fantastic ! Thank You. $\endgroup$
    – S.H.W
    Dec 3, 2016 at 23:49
  • $\begingroup$ Can you provide a good source for learning Mathematica ? $\endgroup$
    – S.H.W
    Dec 3, 2016 at 23:52
  • $\begingroup$ @S.H.W Practice and this site :) $\endgroup$
    – corey979
    Dec 3, 2016 at 23:53
  • $\begingroup$ In your picture , some of points must be empty. How I can determine this points ? $\endgroup$
    – S.H.W
    Dec 3, 2016 at 23:55
  • $\begingroup$ What is an empty point? $\endgroup$
    – corey979
    Dec 4, 2016 at 10:02

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