Factor;then Use Fundamental Identities to Simplify the Expression Below and Determine

Multiple Choice

Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​​ $$\cot ^ { 2 } \alpha + \cot ^ { 2 } \alpha \cdot \tan ^ { 2 } \alpha$$

A) ​ $\csc ^ { 2 } \alpha$
B) ​ $1 + \cot ^ { 2 } \alpha$
C) ​ $\sec ^ { 2 } \alpha$
D) ​ $1 / \cos ^ { 2 } \left( \frac { \pi } { 2 } - \alpha \right)$
E) ​ $\frac { 1 } { 1 - \cos ^ { 2 } \alpha }$