Write the Following as an Algebraic Expression in U, U $\sin \left( \arcsin \frac { \mathrm { u } } { \sqrt { 3 } } \right)$

question 428

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\sin \left( \arcsin \frac { \mathrm { u } } { \sqrt { 3 } } \right)$

• A) \(\frac { u \sqrt { u ^ { 2 } - 3 } } { u ^ { 2 } - 3 }\)
• B) \(\frac { \sqrt { u ^ { 2 } + 3 } } { u ^ { 2 } + 3 }\)
• C) \(\frac { \mathrm { u } \sqrt { 3 } } { 3 }\)
• D) \(u \sqrt { 3 }\)

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Definitions:

Factorial Method

A function that calculates the product of an integer and all the integers below it; for example, 5 factorial (5!) is 5 x 4 x 3 x 2 x 1.

Directly Recursive

A function or method that calls itself within its own definition, directly creating a loop through recursion.

Recursive Method

A method in programming that calls itself in order to solve a problem.

Infinite Recursive Method

A method in programming that calls itself indefinitely due to a missing or incorrect termination condition, leading potentially to a stack overflow error.