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The maximum value of `(cos alpha_(1))(cos alpha_(2))... ( cos alpha_(n))` under the restriction `0 le alpha_(1), alpha_(2),..., alpha_(n) le pi/2` and `(cot alpha_(1))(cot alpha_(2))...(cot alpha_(n))=1` is

A

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

B

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

C

`(1)/(2n)`

D

1

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The correct Answer is:
A
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