Which of the Following Sets of Functions Are Linearly Independent $( 0 , \infty )$

Multiple Choice

Which of the following sets of functions are linearly independent on $( 0 , \infty )$ ? Select all that apply.

A) $\left\{ 1 , \sin ^ { 2 } x , \cos ^ { 2 } x \right\}$
B) $\{ 1 , x + 3,2 x \}$
C) $\left\{ \sqrt { x } , x , x ^ { 2 } \right\}$
D) $\left\{ 1 , \tan ^ { 2 } x , \sec ^ { 2 } x \right\}$
E) $\{ 1 / x , x , \ln x \}$