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

question 121

Multiple Choice

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

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