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If 0 lt theta lt pi/2, x = sum(n=0)^(oo)...

If `0 lt theta lt pi/2, x = sum_(n=0)^(oo)cos^(2n) theta, y =sum_(n=0)^(oo)sin^(2n)theta`, and `z=sum_(n=0)^(oo) cos^(2n)theta sin^(2n) theta` then show that
(i) `xyz=xy+z` (ii) `xyz=x+y+z`

A

`xz+yz=xy+z`

B

`xyz=yz+x`

C

`xy+z=xy+zx`

D

`x+y+z=xyz+z`

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The correct Answer is:
A
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