Use Fundamental Identities to Simplify the Expression Below and Then $\sin \alpha ( \csc \alpha - \sin \alpha )$

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
$\sin \alpha ( \csc \alpha - \sin \alpha )$

A) $1 - \sin ^ { 2 } \alpha$
B) $\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }$
C) $\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }$
D) $1 - \cot ^ { 2 } \alpha$
E) $\cos ^ { 2 } \alpha$

Correct Answer:

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