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

question 293

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\tan ( \mathrm { s } + \mathrm { t } )$ given that $\cos \mathrm { s } = \frac { 1 } { 3 }$ , with $\mathrm { s }$ in quadrant $\mathrm { I }$ , and $\sin \mathrm { t } = - \frac { 1 } { 2 }$ , with $\mathrm { t }$ in quadrant IV.

• A) \(\frac { 9 \sqrt { 3 } + 8 \sqrt { 2 } } { 3 }\)
• B) \(\frac { 9 \sqrt { 3 } - 8 \sqrt { 2 } } { 3 }\)
• C) \(\frac { 9 \sqrt { 3 } - 8 \sqrt { 2 } } { 5 }\)
• D) \(\frac { 9 \sqrt { 3 } + 8 \sqrt { 2 } } { 5 }\)

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Definitions:

Variable Cost Per Unit

The cost that changes in proportion to changes in the level of output or activity.

Income From Operations

The profit realized from a business's ongoing core business operations, excluding deductions of interest and taxes.

Break-even Point

The point at which total costs and total revenue are equal, resulting in no net loss or gain.

Variable Cost

Costs that vary directly with the level of production or output. These are often raw material and labor costs that increase or decrease with the volume of production.