Use the Product-To-Sum Formula to Write the Given Product as a Sum

question 88

Multiple Choice

Use the product-to-sum formula to write the given product as a sum or difference.
$$10 \sin \frac { \pi } { 8 } \cos \frac { \pi } { 8 }$$

• A) \(5 \sin \frac { \pi } { 8 } + 5 \cos \frac { \pi } { 8 }\)
• B) \(5 \sin \frac { \pi } { 4 }\)
• C) \(5 + 5 \cos \frac { \pi } { 16 }\)
• D) \(5 - 5 \cos \frac { \pi } { 16 }\)
• E) \(- 5 \sin \frac { \pi } { 16 }\)

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Definitions:

Inductive Sequence

A methodological approach in reasoning or presentation that moves from specific observations or instances to a generalized conclusion or theory.

Deductive Sequence

A logical structure in communication where the conclusion is presented first, followed by supporting evidence.

Bonus Scheme

A systematic approach to provide additional compensation to employees beyond their usual salary, often tied to performance or company profits.

Persuasive Claims

Statements designed to convince or influence others towards a particular viewpoint or course of action.