Final answer:
To find a negative angle coterminal with 7π/4 radians, subtract 2π to get -π/4 radians as the negative coterminal angle.
Step-by-step explanation:
To find the measure of a negative angle coterminal with π radians, we can subtract multiples of 2π (the full circle in radians) from the given angle until we reach a negative value that is coterminal with the original angle.
Given the angle of 7π/4 radians, we subtract 2π once:
7π/4 - 2π = 7π/4 - 8π/4 = -π/4 radians
Therefore, the negative angle coterminal with 7π/4 radians is -π/4 radians.