Let α and β be two angles measured in radians.
a. (i) Prove that α and β have the same terminal side in standard position if and only if β−α=2kπ for some integer k.
b. (ii) Taking θ=190∘, list all angles coterminal with θ that lie in the interval −1080∘≤ϕ≤1080∘.
c. (iii) How many distinct angles did you list in part (ii)? Justify your count.