Trigonometry #01

Algebra Level pending

For \(0<\phi \le \cfrac { \pi }{ 2 }\) , if \(x=\sum _{ n=0 }^{ \infty }{ { cos }^{ 2n } } \phi\) , \(y=\sum _{ n=0 }^{ \infty }{ { sin }^{ 2n } } \phi\) , \(z=\sum _{ n=0 }^{ \infty }{ { { cos }^{ 2n }\phi .sin }^{ 2n } } \phi\) , then

Source : IIT JEE, 1992

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