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Two values of ArcCos not showing

Mathematica Asked on May 6, 2021

When I try to find

θ = ArcCos[-.5]

I am expecting more than one answer: $$2 pi/3, 4pi/3,…$$

But Mathematica is returning only one:
2.0944 and it is not in angle format as well. Is there a way to get all the values of angles in angle format?

2 Answers

Try the equivalent

Solve[-1/2 == Cos[θ], θ]

and you get multiple values

Correct answer by Andreas on May 6, 2021

you could define a new version of ArcCos[] to produce the desired behaviour

arcCos[θ_] := Solve[θ == Cos[x] , x]

enter image description here

Answered by Conor Cosnett on May 6, 2021

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