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

question 20

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:

Factoring

The process of breaking down an expression into a product of its simpler components, often used in algebra to simplify expressions or solve equations.

Factoring

The process of breaking down an equation or expression into simpler components that, when multiplied together, produce the original equation or expression.

Equation

A mathematical statement that asserts the equality between two expressions, typically involving variables and constants.

Initial Velocity

Initial velocity is the velocity of an object at the start of its motion, often considered in the study of mechanics within physics.