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Vedmedyk [2.9K]
3 years ago
10

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

ty
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0
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}
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