Write Each Expression in Factored Form as an Algebraic Expression $\sec ^ { 4 } x + \sec ^ { 2 } x \tan ^ { 2 } x - 2 \tan ^ { 4 } x$

question 100

Multiple Choice

Write each expression in factored form as an algebraic expression of a single trigonometric function.
- $\sec ^ { 4 } x + \sec ^ { 2 } x \tan ^ { 2 } x - 2 \tan ^ { 4 } x$

• A) \(4 \sec ^ { 2 } x\)
• B) \(3 \sec ^ { 2 } x - 2\)
• C) \(\sec ^ { 2 } x + 2\)
• D) \(\tan ^ { 2 } x - 1\)

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Definitions:

Cognitive Development

The process by which individuals acquire the ability to think, learn, reason, and remember over time, often associated with childhood development.

Sensorimotor

Referring to a developmental stage in infants where they learn about the world through sensory experiences and motor activities.

Preoperational

A stage in Jean Piaget's theory of cognitive development where children from about 2 to 7 years old engage in symbolic play but struggle with logic and understanding the perspective of others.

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