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

Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. $\tan ^ { 3 } x - \tan ^ { 2 } x + \tan x - 1$

A) $\frac { \sin x - \cos x } { \cos ^ { 3 } x }$

B) $\sec ^ { 2 } x \left( \frac { \sin x - \cos x } { \cos x } \right)$

C) $\frac { \sin x } { \cos ^ { 3 } x } - \sec ^ { 2 } x$

D) $\tan x \sec ^ { 2 } x - \sec ^ { 2 } x$

E) $\sec ^ { 2 } x - \tan ^ { 2 } x$

Correct Answer:

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