Question

solve tanx+tan4x+tan7x=tanx .tan4x .tan7x

Answer 1

Given  tanx+tan4x+tan7x=tanxtan4tan7x

We know that tan(a+b+c)=tana+tanb+tanc-tanatanbtanc/1-(tanatanb+tanbtanc+tanctana)

           If a+b+c is n(pie),n belongs to N then tan(a+b+c)=0

                           => tana+tanb+tanc-tanatanbtanc=0

                           =>tana+tanb+tanc=tanatanbtanc

           it is same as the given question,

                        Hence , x+4x+7x=n(pie)

                                 =>12x=n(pie)

                                 => x=n(pie)/12

Answer 2

Answer:

it is the answer of tanx +tan4x+tan7x =tanx . tan4x .tan7x