The value of summation... | JEE Advanced 2016 | Trigonometry

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The value of $\sum_{k=1}^{13} \frac{1}{\sin \left(\frac{\pi}{4}+\frac{(k-1) \pi}{6}\right) \sin \left(\frac{\pi}{4}+\frac{k \pi}{6}\right)}$ is equa ito

Select the correct option:

A

$3-\sqrt{3}$

B

$2(3-\sqrt{3})$

C

$2(\sqrt{3}-1)$

D

$2(2+\sqrt{3})$

✓ Correct! Well done.

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