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(\pi)/(3)\right)=(\pi)/(3)`

ii.)
`\arcsin\left(\sin(2\pi)/(3)\right)=(2\pi)/(3)`

iii.)
`\arcsin\left(\sin(7\pi)/(6)\right)=(7\pi)/(6)`

iv.)
`\arcsin\left(\sin(7\pi)/(4)\right)=(7\pi)/(4)`