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If cosx=tany ,cosy=tanz ,cosz=tanx , th...

If `cosx=tany ,cosy=tanz ,cosz=tanx ,` then the value of `sinx` is (a)`2cos18^0` (b) `cos18^0` (c) `sin18^0` (d) `2sin18^0`

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cosx=tany
`cos^2x=tan^2y`
`=sec^2y-1`
`=1/cos^2y-1`
`=cot^2z-1`
`1+cos^2x=cot^2z`
`=cos^2z/sin^2z`
`=cos^2z/(1-cos^2z)`
...
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