Find the Exact Value of the Expression, If It Is $\cos \left( \tan ^ { - 1 } ( - \sqrt { 3 } ) \right]$

question 92

Multiple Choice

Find the exact value of the expression, if it is defined. $\cos \left( \tan ^ { - 1 } ( - \sqrt { 3 } ) \right]$

• A) \(- 1 / 2\)
• B) \(\sqrt { 3 } / 3\)
• C) \(\sqrt { 3 }\)
• D) \(\sqrt { 3 } / 2\)
• E) \(1 / 2\)

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Definitions:

Efficient Scale

The level of production at which a firm's average total costs are minimized.

Monopolistically Competitive

A market structure where many sellers offer products or services that are similar but not perfect substitutes, allowing for some degree of market power.

Product-variety Externality

The impact on consumer welfare or market efficiency due to variety in products available, often seen as a positive externality in markets.

Business-stealing Externality

A negative effect where a new entrant in a market draws customers from existing businesses, potentially harming those businesses without creating new value for the market as a whole.