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The maximum value of (cosalpha(1))(cosal...

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

A

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

B

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

C

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

D

1

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The correct Answer is:
A
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