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If cos x= tan y , coty= tan z , cot z= ...

If ` cos x= tan y , coty= tan z , cot z= tan x` then sin x=

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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