Find the Exact Value by Using a Half-Angle Identity $\tan \frac { 7 \pi } { 8 }$

question 4

Multiple Choice

Find the exact value by using a half-angle identity.
- $\tan \frac { 7 \pi } { 8 }$

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

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Definitions:

Long Equity

An investment strategy where investors purchase stocks or equity securities with the expectation that their value will increase over time.

Hedge Fund

A private investment partnership that uses complex strategies and various instruments to achieve high returns.

Long-Short Hedge Fund

An investment fund strategy that aims to generate returns by taking long positions in undervalued securities and short positions in overvalued securities.

Short Selling

The practice of selling securities or other financial instruments that are not currently owned, and subsequently repurchasing them at a lower price.