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

question 329

Multiple Choice

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

• 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:

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A tax imposed on the net income or profit of corporations, calculated as a percentage of their earnings.

Working Capital

The gap between a business's present assets versus its current debts, showcasing the liquid funds for operational needs.

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations with its current assets, calculated as current assets divided by current liabilities.

Acid-Test Ratio

An economic indicator assessing the capability of a business to fulfill its immediate liabilities using its most liquid assets, without counting inventory.