Write the Following as an Algebraic Expression in U, U $\tan \left( \cos ^ { - 1 } \frac { \mathrm { u } } { 3 } \right)$

question 247

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\tan \left( \cos ^ { - 1 } \frac { \mathrm { u } } { 3 } \right)$

• A) \(u ^ { 2 } \sqrt { 9 }\)
• B) \(\frac { u \sqrt { 9 - u ^ { 2 } } } { 9 - u ^ { 2 } }\)
• C) \(\frac { \sqrt { \mathrm { u } ^ { 2 } - 9 } } { \mathrm { u } }\)
• D) \(\frac { \sqrt { 9 - u ^ { 2 } } } { u }\)

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Definitions:

Biological Evolution

The process by which species of organisms change over time through genetic variation and natural selection.

Biological Extinction

The complete disappearance of a species from Earth, meaning no living members of the species exist anymore.

Native Vegetation

Plant species that are indigenous to a particular area and have not been introduced by human activity.

Habitat Destruction

The process in which natural habitat is rendered unable to support the species present, leading to the displacement or destruction of its biodiversity.