1) График функции у=(1/2) sin2х в приложении.2) График функции у= arcsin(x-1)-1 в приложении.3) Дано уравнение sin((4х/3)+(π/6))=-1/2 и промежуток [-2π;2π).(4х/3)+(π/6) = 2πk - (π/6),(4х/3) = 2πk -(2π/6),(8х/6) = (12πk/6) - (2π/6), 8х = 12πk - 2π, x = 12πk/8 - (2π/8), x = (3πk/2) - (π/4), k ∈ Z.(4х/3)+(π/6) = 2πk - (5π/6),(4х/3) = 2πk -(6π/6),(8х/6) = (12πk/6) - (6π/6), 8х = 12πk - 6π, x = 12πk/8 - (6π/8), x = (3πk/2) - (3π/4), k ∈ Z.В заданном промежутке 5 корней:х =-5,49779,х = -2,35619,х = -0,785398,х = 2,35619,х = 3,92699.