Answer:
13π/4 , 21π/4, -3π/4, -11π/4
Step-by-step explanation:
Coterminal Angles are angles which share the same initial side and terminal sides.
To find coterminal angles, simply add or subtract 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
5π/4 =(4π/4)+(π/4)
Our Angle 5π/4 is in the 3rd quadrant and exceeds π radians by (π/4) radians, or 45° angular measure.
The 2 positive co-terminal angles would be:
Adding 2π
5π/4 + 2π = 13π/4
Adding another 2π
5π/4 + 2π +2π = 21π/4
The two negative co-terminal angles would be:
Subtracting 2π
5π/4 - 2π = -3π/4
Subtracting another 2π
5π/4 - 2π -2π = -11π/4
The coterminal angles are:
13π/4 , 21π/4, -3π/4, -11π/4
