Final answer:
To find the angle between 0 and 2π radians coterminal with 13π/3 radians, subtract multiples of 2π until in range, resulting in 7π/3 radians.
Step-by-step explanation:
Two angles are coterminal if they share the same initial and terminal sides when plotted on a coordinate plane, regardless of how many times the angle rotates around the circle. To find an angle that is coterminal with 13π/3 radians, but also between 0 and 2π radians, you subtract multiples of 2π (the equivalent of one full revolution) until the angle falls within the desired range.
In this case, 13π/3 is more than 2π and less than 4π. To find the coterminal angle, subtract 2π which is equivalent to 6π/3:
13π/3 - 6π/3 = 7π/3
Therefore, the angle with measure between 0 and 2π radians that is coterminal with the angle measuring 13π/3 radians has measure: B. 7π/3.