Use a Sum or Difference Identity to Find the Exact $$\sin \frac { 7 \pi } { 24 } \cos \frac { \pi } { 8 } - \cos \frac { 7 \pi } { 24 } \sin \frac { \pi } { 8 }$$

question 192

Multiple Choice

Use a sum or difference identity to find the exact value.
- $$\sin \frac { 7 \pi } { 24 } \cos \frac { \pi } { 8 } - \cos \frac { 7 \pi } { 24 } \sin \frac { \pi } { 8 }$$

• A) \(\frac { \sqrt { 3 } } { 2 }\)
• B) \(\frac { 1 } { 2 }\)
• C) 1
• D) \(\frac { \sqrt { 2 } } { 2 }\)

---

Definitions:

Market Yield

The current yield of a bond or other fixed-income security, calculated by dividing the annual interest income by the current market price.

Par-Value

The face value of a bond or stock as stated by the issuer, which is typically the amount repaid at maturity for bonds.

Modified Duration

A formula used to determine the sensitivity of a bond's price to a 1% change in interest rates, indicating the percentage change in price for each percentage point change in yields.

Market Yield

The current annual income returned on an investment, measured as a percentage of the investment's market price.