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

Correct Answer:

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