Find the Exact Value of the Expression Using the Provided $\cos ( \mathrm { s } - \mathrm { t } )$

question 40

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\cos ( \mathrm { s } - \mathrm { t } )$ given that $\sin \mathrm { s } = - \frac { \sqrt { 3 } } { 3 }$ , with $\mathrm { s }$ in quadrant $\mathrm { IV }$ , and $\sin \mathrm { t } = - \frac { \sqrt { 5 } } { 6 }$ , with $\mathrm { t }$ in quadrant IV.

• A) \(\frac { \sqrt { 186 } + \sqrt { 15 } } { 18 }\)
• B) \(\frac { \sqrt { 55 } + \sqrt { 15 } } { 18 }\)
• C) \(\frac { \sqrt { 55 } - \sqrt { 15 } } { 18 }\)
• D) \(\frac { \sqrt { 186 } - \sqrt { 15 } } { 18 }\)

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Definitions:

Limited Quantities

Refers to the specified number of items available within a certain period, often influenced by production or supply constraints.

Short-Run Condition

A period in which at least one input is fixed and firms cannot fully adjust to new market conditions.

Shutting Down

A short-term decision by a firm to cease production when the market price is below variable costs, incurring losses only equal to fixed costs.

Total Revenue

The overall amount of money generated by a business from the sale of its goods or services.