Final answer:
The coterminal angles of π/4 radians are π/4 + 2πn and π/4 - 2πn. The complementary angle of π/4 radians is π/4 radians. The supplementary angle of π/4 radians is 3π/4 radians.
Step-by-step explanation:
The coterminal angles of π/4 radians can be found by adding or subtracting multiples of 2π. So, the coterminal angles of π/4 radians are π/4 + 2πn and π/4 - 2πn, where n is an integer.
The complementary angle of π/4 radians is found by subtracting π/4 radians from π/2 radians. So, the complementary angle of π/4 radians is π/2 - π/4 = π/4 radians.
The supplementary angle of π/4 radians is found by subtracting π/4 radians from π radians. So, the supplementary angle of π/4 radians is π - π/4 = 3π/4 radians.