Find the Exact Value of the Expression, If Possible $\cot \left( \sin ^ { - 1 } \frac { 9 \sqrt { 130 } } { 130 } \right)$

question 27

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\cot \left( \sin ^ { - 1 } \frac { 9 \sqrt { 130 } } { 130 } \right)$

• A) \(\frac { 7 } { 9 }\)
• B) \(\frac { \sqrt { 130 } } { 9 }\)
• C) \(\frac { 9 } { 130 }\)
• D) \(- \frac { 7 } { 9 }\)

---

Definitions:

Ineffective Breathing Pattern

A condition characterized by a lack of sufficient oxygen intake or ineffective expulsion of carbon dioxide, which can disrupt normal respiratory function.

Fowlers Position

A semi-upright sitting position used in medical settings, where the patient's head and trunk are raised 45 to 60 degrees, beneficial for breathing and certain medical conditions.

Arterial Blood Gas

A test that measures the acidity (pH) and levels of oxygen and carbon dioxide in the blood from an artery, used to check lung function.

Gall Bladder Disease

A range of conditions affecting the gall bladder, including gallstones and inflammation, potentially leading to pain and digestive disorders.