If s={x in [0,2pi]:|[0,cosx,-sinx],[sinx...

If `s={x in [0,2pi]:|[0,cosx,-sinx],[sinx,0,cosx],[cosx,sinx,0]|=}` then `sum_(x in s) tan(pi/3+x)` is equal to:

A

`-2+sqrt3`

B

`4+2sqrt3`

C

`-4-2sqrt3`

D

`-2-sqrt3`

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The correct Answer is:

D

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