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). in progress 0 Math Piper 11 months 2021-08-11T10:21:04+00:00 2021-08-11T10:21:04+00:00 1 Answer 0 views 0
Answers ( )
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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