I would like to solve a simple trigonometric equation, for example $\sin\theta=\frac{1}{2},$ but Solve gives the single solution obtained by using the inverse function ArcSin, while Reduce gives all solution in a form difficult to use.

I would like to have a list of substitutions like the output of Solve, for all solutions contained in a given range, for example $[0,2\pi):$

{{θ -> π/6}, {θ -> 5π/6}}

1 Answer 1


You can give explicit ranges as inputs to Solve

Solve[{Sin[t] == 1/2, 0 <= t < 2 π}, t]
(* {{t -> π/6}, {t -> (5 π)/6}} *)
  • $\begingroup$ How simple! Thank you! $\endgroup$
    – enzotib
    Commented Jan 25, 2016 at 16:35

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