Question

Consider the function h(x) = arcsin x) considering the input of h... i) ...which is a valid unit of measure for the input quantity

Answer 1

Given the function $h(x)=\arcsin(x)$

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.) $\arcsin\left(\sin\frac{\pi}{3}\right)=\frac{\pi}{3}$

ii.) $\arcsin\left(\sin\frac{2\pi}{3}\right)=\frac{2\pi}{3}$

iii.) $\arcsin\left(\sin\frac{7\pi}{6}\right)=\frac{7\pi}{6}$

iv.) $\arcsin\left(\sin\frac{7\pi}{4}\right)=\frac{7\pi}{4}$