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If A= [{:(1, "sin"theta,1), (-"sin"theta...

If `A= [{:(1, "sin"theta,1), (-"sin"theta, 1, "sin" theta),(-1, -"sin"theta, 1):}], " then for all "theta in ((3pi)/(4), (5pi)/(4))` det (A) lies in the interval

A

`[5/2,4)`

B

`(3/2,3]`

C

`(0,3/2]`

D

`(1,5/2]`

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The correct Answer is:
B
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