If $x = \sum_{n=0}^{\infty} (-1)^{n} \tan^{2n} \theta$ and $y = \sum_{n=0}^{\infty} \cos^{2n} \theta$ for $0 < \theta < \frac{\pi}{4}$,then:
- A$y(1+x)=1$
- B$x(1+y)=1$
- C$y(1-x)=1$
- D$x(1-y)=1$
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