Prove the Identity $$4 \csc 2 x = 2 \csc ^ { 2 } x \tan x$$

question 253

Essay

Prove the identity.
- $$4 \csc 2 x = 2 \csc ^ { 2 } x \tan x$$

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Definitions:

Chloropyridines

Organic compounds consisting of a pyridine ring substituted with one or more chlorine atoms.

NaCN

Sodium cyanide, a highly toxic salt used industrially in gold mining and as a reactant in organic synthesis, particularly for nitrile formation.

Tertiary Amine

A nitrogen-containing compound where the nitrogen atom is bonded to three carbon atoms, often used as a base or catalyst in organic synthesis.

Alkaloid

A group of naturally occurring chemical compounds that mostly contain basic nitrogen atoms, found in plants and are often used for their medicinal properties.