Given the function [tex]h(x)=\arcsin(x) [/tex]
Part a:
Considering the input of h
i.) A valid unit of measure for the input
quantity is Seconds
ii.) The possible input values, i.e. the domain of
h are -1 ≤ x ≤ 1
Part B:
i.) A valid unit of measure for the output
quantity is the Radians.
ii.) The possible output values, i.e. the range of
h is 0 ≤ h ≤ 2π
Part C:
i.) [tex]\arcsin\left(\sin\frac{\pi}{3}\right)=\frac{\pi}{3}[/tex]
ii.) [tex]\arcsin\left(\sin\frac{2\pi}{3}\right)=\frac{2\pi}{3}[/tex]
iii.) [tex]\arcsin\left(\sin\frac{7\pi}{6}\right)=\frac{7\pi}{6}[/tex]
iv.) [tex]\arcsin\left(\sin\frac{7\pi}{4}\right)=\frac{7\pi}{4}[/tex]