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For all values of theta in (0, (pi)/(2))...

For all values of `theta in (0, (pi)/(2))`, the determinant of the matrix `Delta=[(-2,tan theta+sec^(2)theta,3),(-sin theta, cos theta, sin theta),(-3,-4,3)]` always lies in the interval:

A

[3, 5]

B

(4, 6)

C

`((5)/(2), (19)/(4))`

D

`[(7)/(2), (21)/(4)]`

Text Solution

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The correct Answer is:
a
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