The maximum value of (\cos \\alpha_{1} ).(\cos \\alpha_{2} ) ...(\cos \\alpha_{n} ) Under the restrictions 0 \leq\\alpha_{1}, \\alpha_{2},.... \\alpha_{n} \leq\frac{\\pi}{2} and(\cot \\alpha_{1} ) .(\cot \\alpha_{2} )...(\cot \\alpha_{n} )=1 {\is}

Manipal Entrance Test 2013 Math Paper

Question : 21 of 80

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The maximum value of (cos‌α1).(cos‌α2)...(cos‌αn) Under the restrictions 0≤α1,α2,....αn≤

and(cot‌α1).(cot‌α2)...(cot‌αn)=1‌is

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