If the sum of all the solutions of the e...

If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to

A

`8/9`

B

`(20)/(9)`

C

`2/3`

D

`(13)/(9)`

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The correct Answer is:

D

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