General solution of tanθ+tan4θ+tan7θ=tanθtan4θ tan7θ is
θ=nπ/12, where n∈Z
θ=nπ/9, where n∈Z
θ=nπ+π/12, where n∈Z
none of these
From the given equation, we have
tanθ+tan4θ1−tanθtan4θ=−tan7θ or tan(θ+4θ)=−tan7θ or tan5θ=tan(−7θ)⇒ 5θ=nπ−7θ
or θ=nπ/12, where n∈Z, but n≠6,18,30,…