Find the Exact Value of the Expression $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

question 71

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

• A) \(\frac { 2 \sqrt { 3 } + 3 } { 6 }\)
• B) \(\frac { 3 \sqrt { 3 } + 2 \sqrt { 3 } } { 6 }\)
• C) \(\frac { \sqrt { 3 } + 1 } { 2 }\)
• D) \(- \frac { 5 \sqrt { 3 } } { 6 }\)

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Definitions:

Long Run

A period where all inputs or factors of production can be varied, allowing full adjustment to changes in the market or economy.

Short Run

A period in economics where at least one input is fixed and cannot be changed by the firm.

Market Price

The price at which a good or service is offered in the marketplace, determined by supply and demand dynamics.

Units

Basic measurement or quantity of a product, used to track inventory, production, and sales in various contexts.