Find the Exact Value of the Expression $\cos \left( \sin ^ { - 1 } \frac { 1 } { 3 } - \tan ^ { - 1 } \frac { 1 } { 2 } \right)$

question 392

Multiple Choice

Find the exact value of the expression.
- $\cos \left( \sin ^ { - 1 } \frac { 1 } { 3 } - \tan ^ { - 1 } \frac { 1 } { 2 } \right)$

• A) \(\frac { 2 \sqrt { 3 } + 4 } { 3 \sqrt { 5 } }\)
• B) \(\frac { 2 \sqrt { 6 } } { 5 }\)
• C) \(\frac { 4 \sqrt { 10 } + \sqrt { 5 } } { 15 }\)
• D) \(\frac { 2 \sqrt { 3 } + 1 } { 5 }\)

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Definitions:

Concurrent Jurisdiction

Occurs when multiple courts across different systems concurrently possess authority over a particular case.

Federal District Court

The general trial courts of the United States federal court system where civil and criminal cases are filed.

Remove

To take away or eliminate something from a certain place or position.

In Personam Jurisdiction

A court's authority over the particular parties involved in a lawsuit, as opposed to authority over the subject matter of the lawsuit.