Find an Algebraic Expression Equivalent to the Given Expression $\tan \left( \arccos \frac { \mathrm { u } } { \sqrt { \mathrm { u } ^ { 2 } + 5 } } \right)$

question 91

Multiple Choice

Find an algebraic expression equivalent to the given expression.
- $\tan \left( \arccos \frac { \mathrm { u } } { \sqrt { \mathrm { u } ^ { 2 } + 5 } } \right)$

• A) \(\frac { \sqrt { u ^ { 2 } + 5 } } { 5 }\)
• B) \(\frac { \sqrt { 5 u ^ { 2 } + 25 } } { 5 }\)
• C) \(\frac { u \sqrt { u ^ { 2 } + 5 } } { u 2 + 5 }\)
• D) \(\frac { \sqrt { 5 } } { u }\)

---

Definitions:

Altered Perception

A change in the way an individual senses or interprets their environment, often associated with neurological conditions or substance use.

Stable Affect

An emotional state that shows little to no change in intensity, indicating consistency in mood.

Sensory Overload

A condition where one or more of the senses experiences over-stimulation from the environment, leading to feelings of overwhelm or discomfort.

Extended Period

A lengthy duration of time beyond what is typical or expected.