Let $x = 2 \tan \theta$ $0 \leq \theta < \frac { \pi } { 2 }$

question 51

Multiple Choice

Let $x = 2 \tan \theta$ , $0 \leq \theta < \frac { \pi } { 2 }$ ) Simplify the expression. $\frac { 1 } { x ^ { 2 } \sqrt { 4 + x ^ { 2 } } }$

• A) \(8 \tan ^ { 3 } \theta\)
• B) \(\frac { \cos ^ { 3 } \theta } { 8 \sin ^ { 2 } \theta }\)
• C) \(\sec ^ { 3 } \theta\)
• D) \(\frac { \cos ^ { 2 } \theta } { 4 \sin \theta }\)
• E) \(\frac { 8 \cos \theta } { \sin ^ { 2 } \theta }\)

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