The number of all possible values of \( \theta \), where \( 0\theta \) \( \pi \), for which the ... VIDEO
The number of all possible values of \( \theta \), where \( 0\theta \) \( \pi \), for which the system of equations \( (y+z) \cos 3 \theta \) \( =(x y z) \sin 3 \theta ; x \sin 3 \theta=\frac{2 \cos 3 \theta}{y}+\frac{2 \sin 3 \theta}{z} ;(x y z) \) \( \sin 3 \theta=(y+2 z) \cos 3 \theta+y \sin 3 \theta \) have a solution \( \left(x_{0}, y_{0}\right. \), \( z_{0} \) ) with \( y_{0} z_{0} \neq 0 \), is
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