The maximum value of (cos α1).(cos α2)..... (cos αn) under the restrictions 0 α1, α2,..., αn pi/2 and (cos α1).(cos α2)..... (cos αn) = 1 is
(a) 1/2n/2
(b) 1/2n
(c) 1/2n
(d) 1
Correct option (a) 1/2n/2
Explanation :