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If f(x)=sinx,-pi//2lexlepi//2 , then...

If `f(x)=sinx,-pi//2lexlepi//2` , then

A

f(x) is increasing in the interval `[-pi//2,pi//2]`

B

`f{f(x)}` is increasing in the interval `[-pi//2,pi//2]`

C

`f{f(x)}` is decreasing in `[-pi//2,0]` and increasing in `[0,pi//2]`

D

`f{f(x)}` is invertible in `[-pi//2,pi//2]`

Text Solution

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The correct Answer is:
A, B, D
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