Find the Exact Solution of the Equation $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

question 312

Multiple Choice

Find the exact solution of the equation.
- $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

• A) \(x = - \frac { \sqrt { 2 } } { 8 }\)
• B) \(x = \frac { \sqrt { 2 } } { 8 }\)
• C) \(x = - \frac { \sqrt { 2 } } { 2 }\)
• D) \(x = 0\)

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Definitions:

Repatriate

A person who returns to their country of origin or citizenship after living abroad. In a corporate context, it can refer to employees returning home after an international assignment.

Communication

The exchange of information, thoughts, or messages between individuals or groups, using various methods such as speech, writing, or signals.

Expatriate

An individual who is temporarily or permanently residing in a country other than their native country, often for work reasons.

Overseas Service

Employment or deployment that occurs outside of an individual's home country, often implying work in foreign branches of multinational corporations or government posts.