Factor the Trigonometric Expression and Simplify $\sec ^ { 4 } x - 2 \sec ^ { 2 } x \tan ^ { 2 } x + \tan ^ { 4 } x$

question 89

Multiple Choice

Factor the trigonometric expression and simplify.
- $\sec ^ { 4 } x - 2 \sec ^ { 2 } x \tan ^ { 2 } x + \tan ^ { 4 } x$

• A) \(\sec ^ { 2 } x + \tan ^ { 2 } x\)
• B) 1
• C) \(\sec ^ { 2 } x \left( 1 + \tan ^ { 2 } x \right)\)
• D) 2

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Definitions:

Algorithms

Step-by-step problem-solving procedures or rules for calculations, data processing, and automated reasoning tasks.

Clearly Defined

To be specified or described in precise or exact terms.

Mental Set

A psychological tendency to approach situations in a certain way based on previous experiences and perceptions.

Functional Fixedness

A cognitive bias that limits a person to using an object only in the way it is traditionally used.