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:

Security Market Line

A representation of the capital asset pricing model which shows the relationship between risk (as measured by beta) and expected return of investments.

Expected Return

The anticipated profit or loss an investment is predicted to generate, acknowledging the potential for volatility and risk.

Beta

A means to compare the stability and risk factor of a security or portfolio relative to the market as a whole.

SML (Security Market Line)

A line that represents the expected return of an investment as a function of its risk, with the risk measured by the investment's beta.