Factor the Trigonometric Expression and Simplify $$1 - \sin ^ { 3 } x$$

question 364

Multiple Choice

Factor the trigonometric expression and simplify.
- $$1 - \sin ^ { 3 } x$$

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

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Definitions:

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The legal doctrine that imposes liability on employers and makes them pay for torts committed by their employees within the scope of the employer’s business. Literally translated, it means “Let the master respond.”

Non-delegable Duty

A legal obligation that cannot be transferred to another party and must be performed by the individual or entity to whom it is assigned.

Tort

A private wrong that injures another person’s physical well-being, property, or reputation.

Insane

A term used to describe severe mental illness or incapacity, often legally defined in the context of an individual's fitness to stand trial or make decisions.