Final answer:
Angles A, B, C, and D are coterminal with 7π/8.
Step-by-step explanation:
Coterminal angles are angles that have the same initial and terminal sides. To find angles that are coterminal with 7π/8, we can add or subtract any multiple of 2π (a full revolution) to the angle. In this case, let's start with 7π/8 and add or subtract multiples of 2π:
A. 9π/8: Adding 2π to 7π/8 gives us 9π/8, which is coterminal with 7π/8.
B. -9π/8: Subtracting 2π from 7π/8 gives us -9π/8, which is coterminal with 7π/8.
C. 23π/8: Adding 2π three times to 7π/8 gives us 23π/8, which is coterminal with 7π/8.
D. -25π/8: Subtracting 2π four times from 7π/8 gives us -25π/8, which is coterminal with 7π/8.
Therefore, angles A, B, C, and D are all coterminal with 7π/8.