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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

`13/9`

B

`8/9`

C

`20/9`

D

`2/3`

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The correct Answer is:
A
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