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If x= sum(n=0)^(oo) cos ^(2n)theta , y =...

If `x= sum_(n=0)^(oo) cos ^(2n)theta , y = sum _(n=o) ^(oo) sin ^(2n)theta, z= sum _(n=0)^(oo) cos ^(2n)theta.sin ^(2n)theta and 0 lt theta lt (pi)/(2)` then-

A

`xyz=xz+y`

B

`xyz=xy +z`

C

`xyz=yz+x`

D

`xyz=x+y+z`

Text Solution

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The correct Answer is:
B
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