For the angle negative Pi over 3, find the nearest two positive coterminal angles and the nearest two negative coterminal angles

Answer 1

To find coterminal angles, add (or subtract) any multiple of 2π.

-π/3 + 2π = 5π/3

-π/3 + 4π = 11π/3

-π/3 - 2π = -7π/3

-π/3 - 4π = -13π/3

Answer 2

To find coterminal angles, you have to either add or subtract 2π. In this case, you would use 6π/3 so there is a common denominator.

Positives:

-π/3+6π/3 = 5π/3

5π/3+6π/3 = 11π/3

Negative:

-π/3-6π/3 = -7π/3

-7π/3-6π/3 = -13π/3