Write the Product as a Sum or Difference of Trigonometric $8 \sin 57 ^ { \circ } \cos 110 ^ { \circ }$

question 385

Multiple Choice

Write the product as a sum or difference of trigonometric functions.
- $8 \sin 57 ^ { \circ } \cos 110 ^ { \circ }$

• A) \(4 \left[ \cos 167 ^ { \circ } + \cos \left( - 53 ^ { \circ } \right) \right]\)
• B) \(8 \left[ \cos 167 ^ { \circ } + \cos \left( - 53 ^ { \circ } \right) \right]\)
• C) \(4 \left[ \sin 167 ^ { \circ } - \sin \left( - 53 ^ { \circ } \right) \right]\)
• D) \(4 \left[ \sin 167 ^ { \circ } + \sin \left( - 53 ^ { \circ } \right) \right]\)

---

Definitions:

Bond Dissociation Energies

The energy required to break a specific chemical bond in a molecule, indicating the bond's strength.

Carbon-bromine Bond

The covalent bond formed between a carbon atom and a bromine atom, often seen in organobromine compounds.

Methyl Carbon

A carbon atom bonded to a methyl group, -CH3, often involved in organic reactions.

Tertiary Carbon

A carbon atom bonded to three other carbon atoms, often described in the context of organic molecules and their reactivity.