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Find the Exact Value of the Expression cos60sin30+sin60cos30\cos 60 ^ { \circ } \sin 30 ^ { \circ } + \sin 60 ^ { \circ } \cos 30 ^ { \circ }

question 269

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- cos60sin30+sin60cos30\cos 60 ^ { \circ } \sin 30 ^ { \circ } + \sin 60 ^ { \circ } \cos 30 ^ { \circ }

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Definitions:

Cis-1-Ethyl-4-Isopropylcyclohexane

A cyclohexane molecule with ethyl and isopropyl groups attached in a cis configuration, meaning on the same side of the molecule.

Stable Conformation

Refers to the most energetically favorable spatial arrangement of atoms in a molecule, minimizing strain and repulsion.

Isopropylcyclohexane

An organic compound featuring a cyclohexane ring substituted with an isopropyl group, used in various chemical applications.

Chair Conformation

A term used to describe the most stable, staggered conformation of a cyclohexane ring, resembling a chair, which minimizes steric strain.

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