Find the Exact Value $\sin \left( \sin ^ { - 1 } \frac { 3 } { 5 } - \cos ^ { - 1 } \frac { 1 } { 2 } \right)$

question 116

Multiple Choice

Find the exact value. $\sin \left( \sin ^ { - 1 } \frac { 3 } { 5 } - \cos ^ { - 1 } \frac { 1 } { 2 } \right)$

• A) \(3 / 10\)
• B) \(2 \sqrt { 3 } / 5\)
• C) \(( 3 - 4 \sqrt { 3 } ) / 10\)
• D) \(( 3 - \sqrt { 2 } ) / 10\)
• E) \(( 3 - 4 \sqrt { 3 } ) / 5\)

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Definitions:

Marginal Investor's Risk Aversion

A concept that describes the level of additional risk an investor is willing to take for a marginal increase in potential return.

SML

Stands for the Security Market Line, representing the expected return of investments as a function of their non-diversifiable risk.

Risk-Free Asset

An investment that is expected to return its full face value with zero risk of financial loss.

Required Rate of Return

The minimum annual percentage earned by an investment that will entice individuals or companies to put money into a particular security or project.