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Domain (D) and range (R) of f(x)=sin^(-1...

Domain (D) and range (R) of `f(x)=sin^(-1)(cos^(-1)[x]),` where [.] denotes the greatest integer function, is `D-=x in [1,2],R in {0}` D`-=x in 90 ,1],R-={-1,0,1}` `-=x in [-1,1],R-={0,sin^(-1)(pi/2),sin^(-1)(pi)}` `-=x in [-1,1],R-={-pi/2,0,pi/2}`

A

`D-=[1, 2), R-={0}`

B

`D-=[0,1), R-={-1, 0,1}`

C

`D-=[-1, 1), R-={0, (pi)/(2), pi}`

D

`D-=[-1,1], R-={-(pi)/(2), 0, (pi)/(2)}`

Text Solution

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The correct Answer is:
A
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