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What Is the General Solution To cos2xsinxsinxcos2x+1=0?\cos ^{2} x \sin x-\sin x-\cos ^{2} x+1=0 ?

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What is the general solution to cos2xsinxsinxcos2x+1=0?\cos ^{2} x \sin x-\sin x-\cos ^{2} x+1=0 ?


Definitions:

Electrophilic Aromatic Substitution

A type of chemical reaction where an aromatic ring undergoes substitution, with an electrophile replacing a hydrogen atom.

Pyridine

A basic nitrogen-containing heterocyclic compound, often used as a solvent and starting material in organic synthesis.

Benzene

A simple aromatic hydrocarbon with the formula C6H6, known for its ring structure of six carbon atoms connected by alternating double and single bonds.

Electrophilic Aromatic Substitution

A reaction type in which an electrophile replaces a hydrogen atom on an aromatic ring, often leading to functionalization of the ring.

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