Use the Half-Angle Formulas to Find the Exact Value of the Trigonometric

question 289

Multiple Choice

Use the Half-angle Formulas to find the exact value of the trigonometric function.
- $\cos 165 ^ { \circ }$

• 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:

Nineteenth Century

The period ranging from January 1, 1801, to December 31, 1900, marked by significant social, economic, and technological changes worldwide.

Internal Colonialism

The economic and political subjugation of the minority group within a country by the dominant group, leading to social inequalities.

Segregated School System

An education system where schools are divided based on racial, ethnic, or economic lines, leading to unequal opportunities and resources.

Colonized Peoples

Groups or communities that have been subjected to colonialism, where their territories and resources are dominated by a foreign power.