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What's a steradian?

Posted 4 months ago
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That zero test can be done by hand, by showing that the two arcs have the same tangents (and realizing they lie in the same quadrant).

ResourceFunction["RadicalDenest"][
 Together[TrigExpand[Tan[2 ArcTan[(2 - Sqrt[3])^(3/2)]]]]]

During evaluation of In[639]:= Solve::ifun: Inverse functions are being used by Solve, so some solutions may not be found; use Reduce for complete solution information.

(* Out[639]= Sqrt[2]/5 *)

Tan[ArcCot[5/Sqrt[2]]]

(* Out[640]= Sqrt[2]/5 *)

So that resource function is a bit noisy. No doubt one of us is to blame.

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