If 2 sin x = √3 , 0 <= x <= 2π then x =

sin x = √3/2

Sine function equals √3/2 when the angle is π/3 or 2π/3 (Second quadrant: Sine is always positive). Therefore, the answer is
x = π/3 and 2π/3

sin x = sqrt(3)/2
So x = 60 degrees or 120 degrrees since sin x is positive in 1st and 2nd quuadrants