The value of overset(13)underset(k=1)(su...

The value of `overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)pi)/(6)) sin ((pi)/(4)+ (kpi)/(6)))` is equal to

A

`3-sqrt(3)`

B

`2(3-sqrt(3))`

C

`2(sqrt(3)-1)`

D

`2(2+sqrt(3))`

Verified by Experts

The correct Answer is:

C

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