• If tan x = 3/4 and tan b = 2/7 Find tan(a-b)
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    tana = 3/4       tan b = 2/7

    We know that:

    tan(a-b) = (tan a - tanb)/(1+ tana*tanb)

    Let us substitute:

    tan(a-b) = (3/4 - 2/7) / [1+ (3/4)*(2/7)]

                   = (21-8)/28 / (1+ 6/28)

                    = 13/28 / (34/28)

                     = 13/34

    ==> tan(a-b) = 13/34

    Approved by eNotes Editorial Team

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