Consider the equations: \( P \) \( x \sin a+y \sin 2 a+z \sin 3 a=\...

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Consider the equations:
\( P \)
\( x \sin a+y \sin 2 a+z \sin 3 a=\sin 4 a \)
\( x \sin b+y \sin 2 b+z \sin 3 b=\sin 4 b \)
\( x \sin c+y \sin 2 c+z \sin 3 c=\sin 4 c \).
W
Then the roots of the equation \( t^{3}-\frac{z}{2} t^{2}-\frac{y+2}{4} t+\frac{z-x}{8}=0(a, b, c \neq n \pi) \) are
(1) \( \cos a, \cos b, \cos c \)
(2) \( \sin a, \sin b, \sin c \)
(3) \( \sin 2 a, \sin 2 b, \sin 2 c \)
(4) \( \cos 2 a, \cos 2 b, \cos 2 c \)
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