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Let f(x) = sin^(-1)|sin x| + cos^(-1)( c...

Let `f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) `. Which of the following statement(s) is / are TRUE ?

A

`f(f(3)) = pi`

B

f (x) is periodic with fundamental period `2 pi`

C

f (x) is neither even nor odd

D

Range of f(x) is `[0,2pi]`

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The correct Answer is:
A, B
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