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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

4 + 2 `sqrt(3)`

B

`- 2 + sqrt(3)`

C

`- 2 -sqrt(3)`

D

`- 4-2 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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