Use the Half-Angle Formulas to Determine the Exact Value of the Given

question 24

Multiple Choice

Use the half-angle formulas to determine the exact value of the given trigonometric expression. $\tan \frac { 3 \pi } { 8 }$

• A) \(\quad \tan \frac { 3 \pi } { 8 } = \sqrt { 2 } - 1\)
• B)\(\tan \frac { 3 \pi } { 8 } = \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }\)
• C) \(\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } + 1\)
• D)\(\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 - \sqrt { 2 } } } { 4 }\)
• E) \(\tan \frac { 3 \pi } { 8 } = \sqrt { 2 - \sqrt { 2 } }\)

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Definitions:

World Output

The total value of goods and services produced across the globe within a specific time frame, often used to measure the economic performance of the global economy.

Self-Sufficient

Refers to an individual, household, or community that has the capacity to fulfill all its needs without external assistance.

Resource Endowments

Resource endowments refer to the natural resources a country has available for use and trade, influencing its economic structure and development potential.

Net Importer

A country or region that imports more goods and services than it exports, resulting in a negative trade balance.