13. The general solution of the equ...
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13. The general solution of the equation tanx + tan (x + ) + tan (x + 2) = 3 is n 7 + -, nel nel ,ne nel 12

JEE/Engineering Exams
Maths
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( tan (A+B)=(tan A+tan B)(1-tan A cdot tan B) ) ( begin{aligned} A & tan x+frac{tan x+tan pi}{1-tan x tan pi / 3}+frac{tan x+tan ^{2} pi / 3}{2 pi / 3}=3 end{aligned} ) set tans be ( t ) ( sqrt{2} ) ( x+frac{t+sqrt{3}}{1-t sqrt{3}}+frac{t-sqrt{3}}{1+t sqrt{3}}=3 ) take Lom and ( -3 t-3 t^{3} ) ( frac{1}{1-3 t^{2}}=81 quad ) tenmon ( Rightarrow ) ( tan 3 x=1 ) ( Rightarrow 3 x=n pi+pi / 4 ) ( x>frac{n pi}{3}+frac{pi}{12} )
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