graphics - Generate a Unit Circle Trigonometry

Struggling often with Trigonometry I would like to have some code to generate this Unit Circle Trigonometry. Would be of great help when I need to transform some data :

enter image description here

Answer

There are a couple tricky points here. Here's a start, which I imagine you can finish.

markings[t_] := Module[{o={0,0},p={Cos[t],Sin[t]}, 
  t2=Together[t],tFormat, rot},
  tFormat = If[Denominator[t2]=!=1, 
    Row[{Numerator[t2],"/",Denominator[t2]}]];
  rot = If[TrueQ[Pi/2
    {{Opacity[0.3],Line[{o,p}]},
     Rotate[Inset[Style[
       Row[{t(180/Pi)Degree, " = ",tFormat}],
     FontSize->18], p/2],rot], 
     Text[{Cos[t],Sin[t]},p,-1.3p]}
];
Graphics[{
  Circle[{0,0},1],
  Table[markings[t],{t,{Pi/6,Pi/4,2Pi/3}}]
}]

enter image description here

In addition to finishing it, logical enhancements would include: Making the Circle thicker, adjusting the size and/or format of the point labels, adding Points on the boundary, and/or making it dynamic.

Have fun!

Comments

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