Find the Exact Value of the Expression $\sin 255 ^ { \circ } \cos 15 ^ { \circ } - \cos 255 ^ { \circ } \sin 15 ^ { \circ }$

question 108

Multiple Choice

Find the exact value of the expression.
- $\sin 255 ^ { \circ } \cos 15 ^ { \circ } - \cos 255 ^ { \circ } \sin 15 ^ { \circ }$

• A) \(- \frac { \sqrt { 3 } } { 2 }\)
• B) \(- \frac { 17 } { 4 }\)
• C) \(- \frac { 1 } { 2 }\)
• D) \(\frac { \sqrt { 3 } } { 2 }\)

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Definitions:

Compound Name

The systematic or common naming of chemical compounds based on their structure and the nomenclature rules of chemistry.

Spin-Spin Splitting

A phenomenon in NMR spectroscopy where a nucleus's magnetic field is split by the magnetic fields of neighboring nuclei.

Chemical Shift

A term used in nuclear magnetic resonance (NMR) spectroscopy to describe the change in magnetic resonance frequency of a nucleus due to its chemical environment.

Sample Proportions

The fraction or percentage of the sample that represents a particular trait or characteristic of interest.