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

question 245

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\cos ( \mathrm { s } + \mathrm { t } )$ given that $\cos s = \frac { 1 } { 3 }$ , with $\mathrm { s }$ in quadrant $\mathrm { I }$ , and $\sin t = \frac { 1 } { 4 }$ , with $\mathrm { t }$ in quadrant II.

• A) \(\frac { \sqrt { 15 } - 2 \sqrt { 2 } } { 6 }\)
• B) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 12 }\)
• C) \(\frac { \sqrt { 15 } - 2 \sqrt { 2 } } { 12 }\)
• D) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 6 }\)

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Definitions:

Cash Flow

The total amount of money being transferred in and out of a business, representing its financial health.

Receipts

Documents that acknowledge the receiving of goods, services, or payments, serving as proof of transaction or payment.

Disbursements

Payments made by a business or organization, typically involving the payment of cash expenditures, payroll, or other financial outflows.

Revenue

The total amount of money earned from the sale of goods and services before any expenses are subtracted.