Use a Product-To-Sum Formula to Convert the Expression to a Sum

question 24

Multiple Choice

Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. $\sin 125 ^ { \circ } \sin 5 ^ { \circ }$

• A) \(\frac { 1 } { 2 } \sin 130 ^ { \circ } - \frac { \sqrt { 3 } } { 4 }\)
• B) \(- \frac { 1 } { 4 } - \frac { 1 } { 2 } \cos 130 ^ { \circ }\)
• C) \(\frac { 1 } { 2 } \sin 130 ^ { \circ } + \frac { \sqrt { 3 } } { 4 }\)
• D) \(\sqrt { 3 } \cos 65 ^ { \circ }\)
• E) \(\frac { 1 } { 2 } \cos 130 ^ { \circ } - \frac { 1 } { 4 }\)

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Definitions:

Regular Selling Price

the normal price at which a good or service is sold before any discounts or promotions.

High-end Stove

A premium kitchen appliance that offers superior performance, quality, and features compared to standard models.

Sale Price

The price at which an item is sold to the public, often after discounts are applied.

Profit

The financial gain realized when the amount of revenue gained from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.