For \( 0\phi\pi / 2 \), if \( x=\sum_{n=0}^{\infty} \cos ^{2 n} \phi, y=\sum_{n=0}^{\infty} \sin...

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For \( 0\phi\pi / 2 \), if \( x=\sum_{n=0}^{\infty} \cos ^{2 n} \phi, y=\sum_{n=0}^{\infty} \sin ^{2 n} \phi \) and \( z=\sum_{n=0}^{\infty} \cos ^{2 n} \phi \sin ^{2 n} \phi \) then
(1) \( x y z=x z+y \)
(2) \( x y z=x y+z \)
(3) \( x y z=x+y+z \)
(4) \( x y z=y z+x \)
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