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Prove that: tanA + tan(60^(@)+A) + tan(1...

Prove that: `tanA + tan(60^(@)+A) + tan(120^(@)+A)=3tan3A`

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To prove that \( \tan A + \tan(60^\circ + A) + \tan(120^\circ + A) = 3\tan 3A \), we will follow these steps: ### Step 1: Rewrite the left-hand side We start with the left-hand side (LHS): \[ LHS = \tan A + \tan(60^\circ + A) + \tan(120^\circ + A) \] ...
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