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Prove that: (sin3Acos4A-sinAcos2A)/(si...

Prove that:
`(sin3Acos4A-sinAcos2A)/(sin4AsinA+cos6AcosA)=tan2A`

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To prove the expression \[ \frac{\sin 3A \cos 4A - \sin A \cos 2A}{\sin 4A \sin A + \cos 6A \cos A} = \tan 2A, \] we will manipulate the left-hand side step by step. ...
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