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The number of all possible values of \( \theta \), where \( 0\theta\pi \), for which the system ...

The number of all possible values of \( \theta \), where \( 0\theta\pi \), for which the system of equations \( (y+z) \cos 3 \theta=(x y z) \sin 3 \theta \) \( x \sin 3 \theta=\frac{2 \cos 3 \theta}{y}+\frac{2 \sin 3 \theta}{z} \) P W and \( (x y z) \sin 3 \theta=(y+2 z) \cos 3 \theta+y \sin 3 \theta \) have a solution \( \left(x_{0}, y_{0}, z_{0}\right) \) with \( y_{0} z_{0} \neq 0 \), is ...... [Integer Answer Type 2010] 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live

Иконка канала Amour et Mathématiques
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The number of all possible values of \( \theta \), where \( 0\theta\pi \), for which the system of equations \( (y+z) \cos 3 \theta=(x y z) \sin 3 \theta \) \( x \sin 3 \theta=\frac{2 \cos 3 \theta}{y}+\frac{2 \sin 3 \theta}{z} \) P W and \( (x y z) \sin 3 \theta=(y+2 z) \cos 3 \theta+y \sin 3 \theta \) have a solution \( \left(x_{0}, y_{0}, z_{0}\right) \) with \( y_{0} z_{0} \neq 0 \), is ...... [Integer Answer Type 2010] 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live

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