Rewrite the Following as a Product of Trigonometric Functions $\sin ( \mathrm { s } - \mathrm { t } )$

question 3

Multiple Choice

Rewrite the following as a product of trigonometric functions.
-Find $\sin ( \mathrm { s } - \mathrm { t } )$ given that $\cos \mathrm { s } = \frac { 1 } { 3 }$ , with $\mathrm { s }$ in quadrant $\mathrm { I }$ , and $\sin \mathrm { t } = \frac { 1 } { 4 }$ , with $\mathrm { t }$ in quadrant II.

• A) \(\frac { - 12 \sqrt { 30 } - 1 } { 2 }\)
• B) \(\frac { - 30 \sqrt { 2 } - 1 } { 12 }\)
• C) \(\frac { - 2 \sqrt { 30 } - 1 } { 12 }\)
• D) \(\frac { - 12 \sqrt { 2 } - 1 } { 30 }\)

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Definitions:

Substitute Products

Products for which changes in demand are negatively related; that is, a percentage increase in the quantity demanded for product A results in a percentage decrease in the quantity demanded for product B.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, often influencing pricing strategies.

Demand

The quantity of a good or service that consumers are willing and able to purchase at a given price over a specified period.

Pricing Strategies

Approaches businesses use to set the prices of their products or services, taking into account costs, competition, customer demand, and market conditions.