Answer:
The answer is below
Step-by-step explanation:
Let us assume the angle is -π/4.
Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.
Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.
Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4
Positive coterminal angle = 7π/4, 15π/4
Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4
Negative coterminal angle = -9π/4, -17π/4