Solving a simple trigonometric equation in a range

Question

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}}

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}} *)