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

question 273

Multiple Choice

Find the exact value of the expression.884:890
- $\cos \left[ \sin ^ { - 1 } \frac { 2 } { 3 } + 2 \sin ^ { - 1 } \left( - \frac { 1 } { 3 } \right) \right]$

• A) \(\frac { 2 \sqrt { 6 } } { 5 }\)
• B) \(\frac { 2 \sqrt { 3 } } { 5 }\)
• C) \(\frac { 2 \sqrt { 3 } + 2 \sqrt { 10 } } { 9 }\)
• D) \(\frac { 7 \sqrt { 5 } + 8 \sqrt { 2 } } { 27 }\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Carbon-carbon Bond

A covalent bond between two carbon atoms.

Ethane

A simple alkane with the chemical formula C2H6, consisting of two carbon atoms single-bonded to each other and to hydrogen atoms.

Atomic Orbitals

Formulas that represent the oscillatory nature of electrons in atoms.

Acetaldehyde

Acetaldehyde is a volatile, colorless, and flammable liquid compound (CH3CHO), used in the synthesis of various chemicals and as a flavoring agent, and is a byproduct of alcohol metabolism.