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The maximum value of (cosalpha(1))(cos a...

The maximum value of `(cosalpha_(1))(cos alpha_(2))...(cosalpha_(n)),`
under the restrictions `0lealpha_(1),alpha_(2)...,alpha_(n)le(pi)/(2)` and
`(cotalpha_(1))(cotalpha_(2))......(cotalpha_(n))=1` is

A

`(1)/(2^(n//2))`

B

`(1)/(2^(n))`

C

`(1)/(2n)`

D

1

Text Solution

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The correct Answer is:
A
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