Let 0 lt theta lt 90^(@) and 100 theta =...

Let `0 lt theta lt 90^(@)` and `100 theta = 90^(@)`. If `alpha = prod_(n=1)^(99) cot n theta`, then which one of the following is correct?

A

`alpha =1`

B

`alpha =0`

C

`alpha gt 1`

D

`0 lt alpha lt 1`

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