Find the Exact Value of the Expression $\cos \left( \tan ^ { - 1 } \frac { 5 } { 12 } - \cos ^ { - 1 } \frac { 4 } { 5 } \right)$

question 7

Multiple Choice

Find the exact value of the expression.
- $\cos \left( \tan ^ { - 1 } \frac { 5 } { 12 } - \cos ^ { - 1 } \frac { 4 } { 5 } \right)$

• A) \(\frac { 52 } { 65 }\)
• B) \(\frac { 63 } { 65 }\)
• C) \(\frac { 13 } { 24 }\)
• D) \(\frac { 7 } { 13 }\)

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Definitions:

Opportunity Cost

The value of the best alternative foregone as a result of making a decision, representing the benefit that could have been gained from the next best choice.

Fixed Manufacturing Cost

This refers to the consistent expenses incurred by a company for its manufacturing operations, excluding variable costs; it includes costs like rent, salaries of permanent staff, and depreciation of factory equipment.

Variable Manufacturing Cost

Costs that vary directly with the level of production output, such as raw materials and direct labor.

Idle Capacity

The portion of a company's resources or production capacity that is not being used for production or generating revenue.