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:

Representativeness Heuristic

A decision-making heuristic in which people make judgments about samples according to the populations they appear to represent.

Judgments

The cognitive processes of evaluating information or situations and making decisions or forming opinions.

Positive Instance

An example that fits or supports a particular rule or classification, used in the process of hypothesis testing.

Negative Instance

A term or example that does not fit a specific rule or pattern under investigation, often used in the study of logic and cognition.