JEE Advance - Mathematics Hindi (2016 - Paper 2 Offline - No. 2)
निम्नलिखित का मान
$$\sum\limits_{k = 1}^{13} {{1 \over {\sin \left( {{\pi \over 4} + {{\left( {k - 1} \right)\pi } \over 6}} \right)\sin \left( {{\pi \over 4} + {{k\pi } \over 6}} \right)}}} $$ के बराबर है
$$\sum\limits_{k = 1}^{13} {{1 \over {\sin \left( {{\pi \over 4} + {{\left( {k - 1} \right)\pi } \over 6}} \right)\sin \left( {{\pi \over 4} + {{k\pi } \over 6}} \right)}}} $$ के बराबर है
$$3 - \sqrt 3 $$
$$2\left( {3 - \sqrt 3 } \right)$$
$$2\left( {\sqrt 3 - 1} \right)\,\,\,$$
$$2\left( {2 - \sqrt 3 } \right)$$
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