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Let f (x) =cos ^(-1) ((1-tan ^(2)(x//2))...

Let `f (x) =cos ^(-1) ((1-tan ^(2)(x//2))/(1+ tan ^(2) (x//2)))` Which of the following statement (s) is/are correct about `f (x)` ?

A

Domain is R

B

Range is `[0,pi]`

C

`f (x)` is even

D

`f (x)` is derIvable in `(pi, 2pi)`

Text Solution

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The correct Answer is:
A, B, C, D
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