Write the Following as an Algebraic Expression in U, U $\sin \left( \arctan \frac { \mathrm { u } } { \sqrt { 5 } } \right)$

question 137

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\sin \left( \arctan \frac { \mathrm { u } } { \sqrt { 5 } } \right)$

• A) \(\frac { \sqrt { u ^ { 2 } + 5 } } { u ^ { 2 } + 5 }\)
• B) \(u \sqrt { u ^ { 2 } + 5 }\)
• C) \(\frac { u \sqrt { u ^ { 2 } + 5 } } { u ^ { 2 } + 5 }\)
• D) \(\frac { \mathrm { u } \sqrt { \mathrm { u } ^ { 2 } - 5 } } { \mathrm { u } ^ { 2 } - 5 }\)

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Definitions:

Properties

Characteristics of a substance that define its physical and chemical behavior, such as melting point, boiling point, density, and reactivity.

Palladium (II) Chloride

A chemical compound consisting of palladium and chlorine, commonly used as a precursor in various chemical reactions and catalysis.

Formula

A mathematical or chemical expression that uses symbols and numbers to represent relationships or compositions.

Liquid

A liquid is a state of matter that is fluid and conforms to the shape of its container but retains a constant volume independent of pressure.