Question

The number of all possible values of θ, where 0 < θ < π, for which the system of equaitons (y + z)cos3θ = (xyz)sin3θ

\(xsin3\theta = \frac{2cos\theta}y + \frac{2sin\theta}z\)

and (xyz) sin3θ = (y + 2z)cos3θ + ysin3θ

have a solution (x₀, y₀, z₀) with y₀ z₀ ≠ 0 is

Answer 1

Given equations are \(xsin3\theta= \frac{y+z}{yz} cos3\theta\)