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

question 14

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)​ \(2 \left( \cos \frac { 7 \pi } { 4 } + \cos \frac { 3 \pi } { 4 } \right)\)

---

Definitions:

Deviant Activities

Behaviors that violate societal norms or expectations, ranging from minor infractions to significant crimes.

Pseudo Explanation

An explanation that seems plausible on the surface but is actually unfounded or misleading, often lacking scientific or logical basis.

Deviant Behavior

Actions that diverge from the social norms and expectations of a particular society or community, which can be criminal or non-criminal.

Choice

Choice involves the act of selecting or making a decision among a set of alternatives, implying the freedom to decide.