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

question 52

Multiple Choice

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) \(\sec ^ { 2 } x - \tan ^ { 2 } x\)

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Definitions:

Factory Overhead

Indirect manufacturing costs not directly tied to individual products, encompassing expenses like factory rent, utilities, and equipment depreciation.

Work in Process Inventory

Items in a manufacturing process that are partially completed but not yet finished goods.

Raw Materials Used

The quantity of basic materials and components consumed in the production process to manufacture goods.

Finished Goods Inventory

Inventory of finished goods awaiting sale but not yet purchased by customers.