Write Each Expression in Factored Form as an Algebraic Expression $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$

question 178

Multiple Choice

Write each expression in factored form as an algebraic expression of a single trigonometric function.
- $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$

• A) \(\sin ^ { 2 } x\)
• B) \(\left( 1 - \sin ^ { 2 } x \right)\)
• C) \(\cos ^ { 4 } x\)
• D) \(\left( 1 + \tan ^ { 2 } x \right)\)

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Definitions:

Promising Option

A choice or decision that shows potential to yield beneficial results based on preliminary evidence or analysis.

Dominant Option

A choice or alternative considered superior or more advantageous compared to others in a decision-making scenario.

Power Differential

The disparity in influence or authority between individuals or groups, affecting interactions and outcomes.

Illusion of Control

The tendency for individuals to overestimate their ability to control events or outcomes.