Question

tan x+tan 4x+tan 7x = tan x ×tan 4x ×tan 7x

Answer 1

Your Question is if (tanx+tan4x+tan7x) is equal to (tanx × tan4x × tan7x) , find the value of x. ?

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since we know that :-----

tan(A+B+C)=(tanA+tanB+tanC-tanA*tanB*tanC)/1-(tanA*tanB+tanB*tanC+tanC*tanA)

And,

If a+b+c is n(π) ,, n belongs to N then

tan(A+B+C) = 0

so,

if , tan(A+B+C) = 0

(tanA+tanB+tanC-tanA*tanB*tanC) = 0

tanA+tanB+tanC = tanA*tanB*tanC

Therefore ,

x + 4x + 7x = nπ

12x = nπ

x = (nπ)/12 (Ans)

(Mark as brainlist)