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The maximum value of ( cos alpha1) ( cos...

The maximum value of `( cos alpha_1) ( cos alpha_2) … ( cos alpha_n)` under the restrictions `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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