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

question 238

Multiple Choice

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

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

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Definitions:

President

The elected head of a republican state, responsible for executing national laws and overseeing the government's administration.

Two-Party System

A political system dominated by two major parties, often shaping the political landscape through competition for power.

Single-Member Districts

Electoral districts that elect only one representative to a legislative body, typically by a simple majority vote.

Proportional Representation

An electoral system where parties gain seats in proportion to the number of votes cast for them, as opposed to a winner-take-all system.