5. Let f: A B be a function. Define a relation on A by a₁ ~ƒ a₂ ⇒ f(a₁) = f(a₂) for all a₁, a2 € A. a. Show that ~f is an equivalence relation. b. If ƒ : R → R is defined by f(x) = sin(2x), find the equivalence class of 0 under this equivalence relation.

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