Use the Half-Angle Formulas to Simplify the Expression $$- \sqrt { \frac { 1 - \cos ( x - 3 ) } { 2 } }$$

question 10

Multiple Choice

Use the half-angle formulas to simplify the expression.​ $$- \sqrt { \frac { 1 - \cos ( x - 3 ) } { 2 } }$$ ​

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

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Definitions:

Misrepresentation

A false statement of fact made by one party to another party, which has the effect of inducing that party into a contract.

Voidable

A legal term referring to a contract or transaction that may be deemed invalid by one party, though it remains valid until annulled.

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Deceptive or dishonest behavior intended to result in financial or personal gain.

Innocent Misrepresentation

A false statement made by someone who believes it to be true, without intent to deceive.