Find the Expression as the Tangent of an Angle $\frac { \tan 130 ^ { \circ } - \tan 30 ^ { \circ } } { 1 + \tan 130 ^ { \circ } \tan 30 ^ { \circ } }$

question 162

Multiple Choice

Find the expression as the tangent of an angle. $\frac { \tan 130 ^ { \circ } - \tan 30 ^ { \circ } } { 1 + \tan 130 ^ { \circ } \tan 30 ^ { \circ } }$

• A) \(\tan ^ { - 1 } 100 ^ { \circ }\)
• B) \(\tan ^ { - 1 } 130 ^ { \circ }\)
• C) \(\tan 160 ^ { \circ }\)
• D) \(\tan 100 ^ { \circ }\)
• E) \(\tan 30 ^ { \circ }\)

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Definitions:

Treynor's Measure

A performance metric for determining how well an investment portfolio has compensated the investor for the risk taken, using beta as the risk measure.

Risk-Free Return

The theoretical return on an investment with zero risk, typically represented by government bonds or bills, serving as a benchmark for assessing investment performance.

Information Ratio

This ratio measures the excess return of a portfolio over the benchmark's return, relative to the volatility of those excess returns, indicating the portfolio manager's ability to generate consistent excess returns.

Risk-Free Return

The theoretical return on investment with no risk of financial loss, often represented by the yield on government securities.