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The maximum value of : (cosalpha(1)).(co...

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

A

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

B

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

C

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

D

1

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