If "cos" x=tan y , cot y=tan z and cot z...

If "cos" x=tan y , cot y=tan z and cot z=tan x, then "sin" x is equal to

A

`(sqrt5+1)/4`

B

`(sqrt5-1)/4`

C

`(sqrt5+1)/2

D

`(sqrt5-1)/2`

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The correct Answer is:

D

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