Which of the Following Is Equivalent to the Given Expression $\frac { \cot ^ { 2 } x } { \csc x + 1 }$

Multiple Choice

Which of the following is equivalent to the given expression?
$\frac { \cot ^ { 2 } x } { \csc x + 1 }$

A) $\csc x + 2 \sec x$
B) $\csc x - 1$
C) $\cot x + 2$
D) $\tan ^ { 2 } x - \cot ^ { 2 } x$
E) $- 2 \sec x \csc ^ { 2 } x$