Question

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.) 5π 4

Answer 1

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