Use a Sum or Difference Identity to Find the Exact $\sin \frac { 7 \pi } { 12 }$

question 307

Multiple Choice

Use a sum or difference identity to find the exact value.
- $\sin \frac { 7 \pi } { 12 }$

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 }\)
• C) \(\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }\)
• D) \(\frac { \sqrt { 3 } + 1 } { 2 }\)

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Definitions:

Effective Annual Rate

The annual return on an investment or loan taking compounding into account, expressed as a percentage.

Compounded Annually

This is an interest calculation method where interest is added to the principal once a year.

Effective Rate

The actual interest rate of an investment or loan, taking into account the effects of compounding.

Compounded Semi-Annually

Interest calculation method where the interest is added to the principal sum twice a year, causing the interest to earn interest.