Final answer:
To find coterminal angles with an angle measure of 4π/3, add or subtract a multiple of 2π.
Step-by-step explanation:
An angle is said to be coterminal if it has the same initial side and terminal side as another angle. Coterminal angles can be found by adding or subtracting a multiple of 360 degrees or 2π radians from the given angle.
To find angles coterminal with an angle measure of 4π/3, we can add or subtract multiples of 2π to the given angle:
Adding 2π: 4π/3 + 2π = 10π/3
Subtracting 2π: 4π/3 - 2π = -2π/3
Adding 4π: 4π/3 + 4π = 16π/3
So, angles coterminal with 4π/3 are 10π/3, -2π/3, and 16π/3.