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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The maximum value of
$(\cos\alpha_1)(\cos\alpha_2)\cdots(\cos\alpha_n)$
where $0\le \alpha_1,\alpha_2,\ldots,\alpha_n\le\pi$ and
$(\cot\alpha_1)(\cot\alpha_2)\cdots(\cot\alpha_n)=1$ is
Solution
By AM–GM, maximum occurs when $\alpha_1=\alpha_2=\cdots=\alpha_n=\frac{\pi}{4}$ Then $\cos\alpha_i=\frac{1}{\sqrt2}$ Product $=\left(\frac{1}{\sqrt2}\right)^n=\frac{1}{2^{n/2}}$Online Test Series, Information About Examination,
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Online Test Series, Information About Examination,
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