Find the Exact Value by Using a Half-Angle Identity $\sin 75 ^ { \circ }$

question 383

Multiple Choice

Find the exact value by using a half-angle identity.
- $\sin 75 ^ { \circ }$

• 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) \(\frac { 1 } { 2 } \sqrt { 2 + \sqrt { 3 } }\)

---

Definitions:

Discount Rate

The interest rate the Fed charges banks that borrow reserves

Depository Institutions

Financial organizations, such as banks and credit unions, that accept deposits from individuals and provide loans and other financial services.

Borrow

Obtaining funds from another party with the promise to return the principal amount along with agreed-upon interest or dividends.

Discount Rate

The rate at which financial institutions can borrow funds from the central bank, often used as a monetary policy tool.