Write the following expression as an algebraic expression that does not involve trigonometric or inverse trigonometric functions $\sin ^ { 2 } \left( \tan ^ { - 1 } 2 x \right)$
A) $\frac { x ^ { 2 } } { 1 + 2 x ^ { 2 } }$
B) $\frac { 2 x ^ { 2 } } { 1 + 2 x ^ { 2 } }$
C) $\frac { 2 x ^ { 2 } } { 1 + 4 x ^ { 2 } }$
D) $\frac { 4 x ^ { 2 } } { 1 + 4 x ^ { 2 } }$

Question

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The Answer of Write the following expression as an algebraic expression that does not involve trigonometric or inverse trigonometric functions $\sin ^ { 2 } \left( \tan ^ { - 1 } 2 x \right)$
A) $\frac { x ^ { 2 } } { 1 + 2 x ^ { 2 } }$
B) $\frac { 2 x ^ { 2 } } { 1 + 2 x ^ { 2 } }$
C) $\frac { 2 x ^ { 2 } } { 1 + 4 x ^ { 2 } }$
D) $\frac { 4 x ^ { 2 } } { 1 + 4 x ^ { 2 } }$

Write the Following Expression as an Algebraic Expression That Does sin⁡2(tan⁡−12x)\sin ^ { 2 } \left( \tan ^ { - 1 } 2 x \right)sin2(tan−12x)

Write the Following Expression as an Algebraic Expression That Does $\sin ^ { 2 } \left( \tan ^ { - 1 } 2 x \right)$