Find the Exact Value by Using a Half-Angle Identity $\sin 165 ^ { \circ }$

question 168

Multiple Choice

Find the exact value by using a half-angle identity.
- $\sin 165 ^ { \circ }$

• A) \(- \frac { 1 } { 2 } \sqrt { 2 + \sqrt { 3 } }\)
• B) \(\frac { 1 } { 2 } \sqrt { 2 - \sqrt { 3 } }\)
• C) \(\frac { 1 } { 2 } \sqrt { 2 + \sqrt { 3 } }\)
• D) \(- \frac { 1 } { 2 } \sqrt { 2 - \sqrt { 3 } }\)

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Definitions:

Institutional Adaptation

The process by which organizations adjust and change to meet the demands of their external environment or internal needs.

Internal Integration

The process of ensuring that different parts of an organization work together smoothly and effectively towards common goals.

External Adaptation

The process by which an organization or group adjusts and responds to changes in the external environment to survive and thrive.

Systematic Integration

The organized and methodical incorporation of various elements or components into a cohesive whole.