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If min and max value of the function f:[...

If min and max value of the function `f:[pi/4,pi/2] to R, f(theta)=|[-sin^2theta,-1-sin^2theta,1],[-cos^2theta,-1-sin^2theta,1],[12,-4,0]|` are `m` and `M`. Find the ordered pair `(m,M)`.

A

`(0 , 2 sqrt2) `

B

`(-4 , 0)`

C

`( - 4 , 0)`

D

`( 0 , 4)`

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