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. $\sin ^ { 3 } x - \sin ^ { 2 } x - \sin x + 1$ ​

A) ​ $\frac { 1 + \cos ^ { 2 } x } { \sin }$
B) ​ $\cos ^ { 2 } x ( 1 - \sin x )$
C) ​ $\frac { \cos ^ { 4 } x } { 1 + \sin x }$
D) ​ $\cos ^ { 2 } x - \cos ^ { 2 } x \sin x$
E) ​ $\frac { 1 - \sin x } { \sec ^ { 2 } x }$