The number of all possible values of θ, where 0 < θ < π, for which the system of equations (y + z) cos 3θ = (xy) sin θ x sin 3θ = {2cos3\theta}/y + {2sin3\theta}/z (xyz) sin 3θ = (y + 2z) cos 3θ + y sin 3θ have a solution (x_0,y_0,z_0) with y_0z_0 ≠ 0 is ____. [JEE Adv 2010 P1]

Trigonometric Functions & Equations

Section: Mathematics

Question : 25 of 30

Marks: +1, -0

The number of all possible values of θ, where 0 < θ < π, for which the system of equations
(y + z) cos 3θ = (xy) sin θ
x sin 3θ =

2cos3θ

2sin3θ

(xyz) sin 3θ = (y + 2z) cos 3θ + y sin 3θ
have a solution (x0,y0,z0) with y0z0 ≠ 0 is ____.

[JEE Adv 2010 P1]

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