By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.
How to find coterminal angles
Two angles are coterminal when their terminal ends have the same direction. By the fact that two consecutive coterminal angles have a difference of 2π, we find the following definition:
θ' = θ ± 2π · i, i ∈ [tex]\mathbb{N}_{O}[/tex] (1)
Now we proceed to determine the coterminal angles for each case:
a) θ = 2π/3
θ' = 14π/3, θ' = - 4π/3
b) θ = - 11π/7
There are no coterminal angles.
By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.
To learn more on coterminal angles: https://brainly.com/question/23093580
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