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:

Perpetuity

A type of annuity that pays an infinite series of cash flows, with the first payment occurring one period from now, indefinitely into the future.

Future Value Factor

A multiplier used to calculate the estimated future value of a current investment or cash flow at a specified rate of return.

Cash Flows

The entire amount of funds transferred into and out of an entity, impacting its liquidity.