Write an Algebraic Expression That Is Equivalent To $$\sin \left( \arctan \frac { x } { 2 } \right)$$

question 21

Multiple Choice

Write an algebraic expression that is equivalent to $$\sin \left( \arctan \frac { x } { 2 } \right)$$ .

• A) \(\frac { x \sqrt { x ^ { 2 } + 4 } } { x ^ { 2 } + 4 }\)
• B) \(\frac { 2 \sqrt { x ^ { 2 } + 4 } } { x ^ { 2 } + 4 }\)
• C) \(\frac { 2 } { x }\)
• D) \(\frac { \sqrt { x ^ { 2 } + 4 } } { 2 }\)
• E) \(\frac { \sqrt { x ^ { 2 } + 4 } } { x }\)

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