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If ` x underset(n=0)overset(oo)Sigma (-1)^n " tan "^(2n) " and " y = underset(n=0)overset(oo)Sigma " cos "^(2n) theta` for ` 0 lt theta lt 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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The correct Answer is:
C
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