Final answer:
To find an angle that is coterminal with -4π/3, subtract 2π from the given angle which gives -10π/3.
Step-by-step explanation:
To find an angle that is coterminal with -4π/3, we need to add or subtract a multiple of 2π to the given angle until we get an angle between 0 and 2π. In this case, we have -4π/3 which is already greater than -2π, so we need to subtract 2π to get it within the desired range.
-4π/3 - 2π = -4π/3 - 6π/3 = -10π/3
Therefore, an angle between 0 and 2π that is coterminal with -4π/3 is -10π/3.