Mathematics · Trigonometry

If tan(α + β) = √3 and tan(α - β) = 1, where (α + β) and (α - β) are acute angles, then what is the value of tan(6α)?

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If tan(&alpha; + &beta;) = &radic;3 and tan(&alpha; - &beta;) = 1, where (&alpha; + &beta;) and (&alpha; - &beta;) are acute angles, then what is the value of tan(6&alpha;)?