Final answer:
Coterminal angles for 5π/7 are found by adding or subtracting multiples of 2π. Positive coterminal angle is 19π/7 and negative coterminal angle is -9π/7.
Step-by-step explanation:
To find coterminal angles for 5π/7, we look for angles that differ from the given angle by an integer multiple of 2π radians since adding or subtracting 2π results in a full rotation around the unit circle. To find the positive coterminal angle, you would add 2π to 5π/7:
5π/7 + 2π = 5π/7 + 14π/7 = 19π/7
For a negative coterminal angle, subtract 2π:
5π/7 - 2π = 5π/7 - 14π/7 = -9π/7
Both 19π/7 and -9π/7 are coterminal angles with 5π/7.