Find the Exact Value by Using a Half-Angle Identity $$\cos \frac { 5 \pi } { 12 }$$

question 448

Multiple Choice

Find the exact value by using a half-angle identity.
- $$\cos \frac { 5 \pi } { 12 }$$

• 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:

Achiral

A term for molecules that are identical to their mirror images and cannot rotate plane-polarized light.

Amino Acids

Organic compounds used as the building blocks of proteins, containing both an amino group and a carboxylic acid group.

Single Letter Code

The system of representing amino acids or nucleotides using single letter abbreviations to simplify notation in sequences.

Peptide

Short chains of amino acid monomers linked by peptide (amide) bonds, playing crucial roles in biological functions.