Write the Following as an Algebraic Expression in U, U $\sin ( \arctan u )$

question 25

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\sin ( \arctan u )$

• A) \(\frac { \mathrm { u } \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } ^ { 2 } + 1 }\)
• B) \(\frac { \sqrt { u ^ { 2 } + 1 } } { u ^ { 2 } + 1 }\)
• C) \(u \sqrt { \mathrm { u } ^ { 2 } + 1 }\)
• D) \(\frac { \mathrm { u } \sqrt { \mathrm { u } ^ { 2 } - 1 } } { \mathrm { u } ^ { 2 } - 1 }\)

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Definitions:

1920s

A transformative decade known for economic prosperity, cultural blossoming, and significant social changes in the United States, often referred to as the "Roaring Twenties."

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1928 Presidential Campaign

involved a contest between Republican Herbert Hoover and Democrat Al Smith, notable for debates over Prohibition, religious intolerance, and economic prosperity.

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