Find the Exact Value of the Expression $\cos \left( \tan ^ { - 1 } \frac { 4 } { 3 } - \sin ^ { - 1 } \frac { 3 } { 5 } \right)$

question 19

Multiple Choice

Find the exact value of the expression.
- $\cos \left( \tan ^ { - 1 } \frac { 4 } { 3 } - \sin ^ { - 1 } \frac { 3 } { 5 } \right)$

• A) 1
• B) \(\frac { 2 \sqrt { 6 } } { 5 }\)
• C) \(\frac { 2 \sqrt { 3 } } { 5 }\)
• D) \(\frac { 24 } { 25 }\)

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Definitions:

Rate of Return

The upward or downward movement in the value of an investment across a predefined period, depicted as a percentage of the initial investment cost.

Equipment

Tangible physical assets used in the operation of a business, such as machinery, computer hardware, and vehicles, that have a longer life expectancy and are not intended for resale.

Cash Flows

The complete financial movement into and out of a trade, greatly influencing its operational liquidity.

Crossover Rate

The point at which two or more investment projects have the same net present value or rate of return, used in capital budgeting to compare projects.