The number of all possible values of \( \theta \), where \( 0\theta\pi \), for which the system ... VIDEO
The number of all possible values of \( \theta \), where \( 0\theta\pi \), for which the system of equations
[IIT JEE-2010]
\( (y+z) \cos 3 \theta=(x y z) \sin 3 \theta \)
P
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\( x \sin 3 \theta=\frac{2 \cos 3 \theta}{y}+\frac{2 \sin 3 \theta}{z} \)
(xyz) \( \sin 3 \theta=(y+2 z) \cos 3 \theta+y \sin 3 \theta \) have a solution
\( \left(\mathrm{x}_{0}, \mathrm{y}_{0}, \mathrm{z}_{0}\right) \) with \( \mathrm{y}_{0} \mathrm{z}_{0} \neq 0 \), is
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