Consider the function f(x) = sin(x).
a. graph y = f(x) on the domain [−2π, 2π].
b. if we require a restricted domain on f to be continuous and cover the entirety of the range of f, how many
possible choices for a domain are there in your graph from part (a)? what are they?
c. make a decision on which restricted domain you listed in part (b) makes the most sense to choose. explain
your decision.
d. use a calculator to evaluate sin−1(0.75) to three decimal places. how can you use your answer to find other
values ψ such that sin(ψ) = 1? verify that your technique works by checking it against your graph in part (a).