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

question 22

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:

Z-statistic

A statistical measure that quantifies the distance (in standard deviation units) a data point is from the mean of a distribution.

Two-tailed Test

A statistical test that considers both directions of an effect, testing the possibility of relationships in both positive and negative directions.

Significant

Denoting a result in statistical analysis that is likely not due to chance, thereby indicating a meaningful difference or correlation.

Z-statistic

A statistic used in hypothesis testing, calculated as the difference between a sample statistic and its hypothesized population parameter, divided by the standard error.