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If 0 lt theta, phi lt (pi)/(2), x = sum(...

If `0 lt theta, phi lt (pi)/(2), x = sum_(n=0)^(oo)cos^(2n)theta, y=sum_(n=0)^(oo)sin^(2n)phi` and `z=sum_(n=0)^(oo)cos^(2n)theta*sin^(2n)phi` then :

A

`xy+ yz+ zx= z`

B

`xy- z= (x+y)z`

C

`xy+z= (x+y)z`

D

xyz= 4

Text Solution

Verified by Experts

The correct Answer is:
C
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