Use the Product-To-Sum Formulas to Rewrite the Product as a Sum

question 231

Multiple Choice

Use the product-to-sum formulas to rewrite the product as a sum or difference. $4 \cos \frac { \pi } { 2 } \sin \frac { 5 \pi } { 4 }$

• A) \(2 \left( \sin \frac { 7 \pi } { 4 } - \sin \frac { 3 \pi } { 4 } \right)\)
• B) \(2 \left( \cos \frac { 7 \pi } { 4 } - \cos \frac { 3 \pi } { 4 } \right)\)
• C) \(2 \left( \sin \frac { 7 \pi } { 4 } + \cos \frac { 3 \pi } { 4 } \right)\)
• D) \(2 \left( \sin \frac { 7 \pi } { 4 } + \sin \frac { 3 \pi } { 4 } \right)\)
• E) \(2 \left( \cos \frac { 7 \pi } { 4 } + \cos \frac { 3 \pi } { 4 } \right)\)

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Definitions:

Registered

Officially recorded on a list or register for purposes of identification, tracking, or certification, often implying a degree of regulatory compliance.

Unaware

Lacking knowledge or awareness about something.

Equity of Redemption

The right of a debtor to reclaim property that has been used as collateral after the debt obligation has been fully paid.

Hypothecation

The practice of pledging assets as collateral to secure a loan, without transferring ownership of the collateral.