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Which of the following functions are def...

Which of the following functions are defined for all `x in R`? (Where` [.]` = denotes greatest integer function)

A

`f (x)= sin [x] + cos [x]`

B

`f (x) = sec ^(-1) (1+ sin ^(2) x)`

C

`f (x) =sqrt((9)/(8) + cos x+ cos 2x)`

D

`f (x) = tan (l n (1+|x|))`

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The correct Answer is:
A, B, C
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