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if f:[0,pi//)toR is defined as f(theta)=...

if `f:[0,pi//)toR` is defined as `f(theta)=|(theta,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1)|`. Then the range of f is

A

`(2,oo)`

B

`(-oo,2]`

C

`[2,oo)`

D

`(-oo,2]`

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