Use an Inverse Function to Write $\theta$ As a Function of X

question 177

Multiple Choice

Use an inverse function to write $\theta$ as a function of x.

• A) \(\theta = \tan ^ { - 1 } \left( \frac { 1 } { x - 1 } \right)\)
• B) \(\theta = \tan ^ { - 1 } \left( \frac { x - 1 } { x + 1 } \right)\)
• C) \(\theta = \tan ^ { - 1 } ( x + 1 )\)
• D) \(\theta = \tan ^ { - 1 } \left( \frac { 1 } { x ^ { 2 } + 1 } \right)\)
• E) \(\theta = \tan ^ { - 1 } \left( \frac { 1 } { x + 1 } \right)\)

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Definitions:

Closed Circulatory System

A type of circulatory system in which the blood flows through a continuous circuit of blood vessels; characteristic of annelids, cephalopods, and vertebrates. Compare with open circulatory system.

Mollusks

A diverse group of invertebrates that includes snails, slugs, oysters, and octopuses, characterized by a soft body, many with a hard shell.

Polyplacophora

A class of marine mollusks known as chitons, characterized by their eight-plated dorsal shells and grazing habits.

Intertidal Zone

The marine shoreline area between the high-tide mark and the low-tide mark.