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Q. The value of is equal sum(k=1)^13(1/(...

Q. The value of is equal `sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k pi/6))` is equal

A

`3-sqrt(3)`

B

`2(3-sqrt(3))`

C

`2(sqrt(3)-1)`

D

`2(2+sqrt(3))`

Text Solution

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The correct Answer is:
C
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