Write Each Expression in Factored Form as an Algebraic Expression $1 - \sin ^ { 3 } x$

question 313

Multiple Choice

Write each expression in factored form as an algebraic expression of a single trigonometric function.
- $1 - \sin ^ { 3 } x$

• A) \(( 1 - \sin x ) \left( 1 - 2 \sin x + \sin ^ { 2 } x \right)\)
• B) \(( 1 - \sin x ) \left( \cos x + \sin ^ { 2 } x \right)\)
• C) \(( 1 - \sin x ) \left( 1 + \sin x + \sin ^ { 2 } x \right)\)
• D) \(( 1 - \sin x ) ^ { 3 }\)

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Definitions:

Production Possibility Frontier

A graph that shows all the highest production potentials for two products, based on a specific set of resources and various factors.

Bowed Out

Describes a curve, typically an indifference curve in economics, that is concave from the perspective of the origin, indicating that as one moves along the curve, the rate of substitution between two goods changes.

Straight Line

A geometric concept representing the shortest distance between two points in a plane, characterized by constant direction and an infinite number of points.

Opportunity Cost

The expense incurred by not choosing the second-best option available when a decision is made.