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The range of the function f(x)=cosec^(-1...

The range of the function `f(x)=cosec^(-1)[sinx] " in " [0,2pi]`, where `[*]` denotes the greatest integer function , is

A

`[0,pi//2) cup (pi,3pi//2]`

B

{-pi/2} and {pi/2}

C

`(0,pi] cup {3pi//2}`

D

`(pi//2,pi) cup (3pi//2,2pi)`

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The correct Answer is:
B
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