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

question 130

Multiple Choice

Use the product-to-sum formulas to rewrite the product as a sum or difference. $8 \sin 65 ^ { \circ } \cos 25 ^ { \circ }$

• A) \(8 \left( \sin 90 ^ { \circ } + \sin 40 ^ { \circ } \right)\)
• B) \(4 \left( \cos 90 ^ { \circ } + \cos 40 ^ { \circ } \right)\)
• C) \(4 \left( \cos 90 ^ { \circ } - \cos 40 ^ { \circ } \right)\)
• D) \(\left( \sin 90 ^ { \circ } + \sin 40 ^ { \circ } \right)\)
• E) \(4 \left( \sin 90 ^ { \circ } + \sin 40 ^ { \circ } \right)\)

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Definitions:

Ancient Greece

A civilization belonging to a period of Greek history that lasted from the Dark Ages (about 1200 BCE) to the end of antiquity (circa 600 CE), known for its advancements in philosophy, government, and the arts.

Adolescent Boys

Male individuals in the development stage spanning from puberty to legal adulthood.

Courtesans

Courtesans were historically educated and sophisticated women who served as companions and sometimes sexual partners to wealthy or powerful men.

Hetaerae

In ancient Greece, educated and sophisticated companions or courtesans who engaged in long-term relationships with powerful men for their mutual benefit.