General solutions to Tanx +tan4x+tan7x=tanxtan4xtan7x
Abhinav , 7 Years ago
Grade 11
IIT JEE Entrance Exam> General solutions to Tanx +tan4x+tan7x=ta...
1 Answers
Soumya Ranjan Mohanty
Last Activity: 7 Years ago
Dear student,
tan a +tan b+tan c=tan a.tan b.tan c iff tan(a+b+c)=0
tan a +tan b+tan c=tan a.tan b.tan c iff tan(a+b+c)=0
here a=x, b=4x, c=7x
so tan(x+4x+7x)=0
=>tan(12x)=0
=>12x=n*pi
therefore, x=(n*pi)/12 [Ans]
Hope it helps.
Soumya Ranjan Mohanty.
so tan(x+4x+7x)=0
=>tan(12x)=0
=>12x=n*pi
therefore, x=(n*pi)/12 [Ans]
Hope it helps.
Soumya Ranjan Mohanty.
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