If tan A = ½, tan B = 1/3 and tan (A+B) = tan +tan ÷ 1−tan tan . Find (A + B). ​

Question

If tan A = ½, tan B = 1/3 and tan (A+B) = tan +tan
÷ 1−tan tan
. Find (A + B). ​

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Piper 1 month 2021-08-11T10:21:04+00:00 1 Answer 0 views 0

Answers ( )

  1. Piper
    0
    2021-08-11T10:22:12+00:00
    Reply

    Given: tan A = 1/3 and tan B = 1/2 tan (A + B) = tanA+tanB/ 1−tanA tanB

    on substituting this values in RHS of the expression , we get

    tanA+tanB÷1-tanA.tanB =

    (1/3+1/2)÷(1-1/3×1/2)

    (5/6)÷1-1/6

    (5/6)÷(5/6)=1

    tanA+tanB=1=45°

    therefore , A+B =45°

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