Factor; Then Use Fundamental Identities to Simplify the Expression Below $\sin ^ { 3 } x - \sin ^ { 2 } x - \sin x + 1$

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