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

question 109

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) \(x = 0\)

---

Definitions:

Radiation Therapy

A medical treatment that uses high-energy particles or waves, such as X-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.

Prostate Cancer

A form of cancer that develops in the prostate, a gland in the male reproductive system, often characterized by difficulty in urination, blood in the urine, and pelvic discomfort.

Prophylactic Removal

The preemptive surgical removal of a body part or tissue to prevent disease or adverse health outcomes.

Family History

Information about diseases and health conditions that have occurred in a person's direct and close relatives, used for medical assessment and risk evaluation.