Find an Algebraic Expression Equivalent to the Given Expression $\sin ( \arctan u )$

question 218

Multiple Choice

Find an algebraic expression equivalent to the given expression.
- $\sin ( \arctan u )$

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

---

Definitions:

Stepping Reflex

is an automatic movement seen in newborn babies, who appear to take steps when held upright with their feet touching a solid surface, indicating normal neural development.

Heel-toe Walk

A physical test used to assess balance and coordination by walking in a straight line placing the heel of one foot directly in front of the toes of the opposite foot.

Balance

The ability to maintain bodily equilibrium or the even distribution of weight enabling someone or something to remain upright and steady.

Neurological Assessment

A comprehensive evaluation of the nervous system performed by healthcare professionals to detect neurological disorders or conditions.