Answer:
- The angle between 0 and 2π that is coterminal with -8π/3 is 4π/3.
Explanation:
To find the angle between 0 and 2π that is coterminal with -8π/3, we can add or subtract multiples of 2π until we get an angle within the given range.
Let's start with -8π/3 and add 2π to it:
-8π/3 + 2π = -8π/3 + 6π/3 = -2π/3
The angle -2π/3 is still not within the range of 0 to 2π. Let's add 2π again:
-2π/3 + 2π = -2π/3 + 6π/3 = 4π/3
The angle 4π/3 is within the range of 0 to 2π. Therefore, the angle that is coterminal with -8π/3 and lies between 0 and 2π is 4π/3.
To summarize:
- The angle between 0 and 2π that is coterminal with -8π/3 is 4π/3