If tanθ+tan4θ+tan7θ=tanθtan4θtan7θ, then θ=
Consider the system of linear equations in x, y and z ; (sin 3θ) x - y + z = 0 ......(i) (cos 2θ)x + 4y + 3z = 0 ......(ii) 2x + 7y+ 7z = 0 ......(iii) The value of θ for which the system has nontrivial solution is