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If f(x)=sin^(-1)(sin x),g(x)=cos^(-1)(co...

If `f(x)=sin^(-1)(sin x),g(x)=cos^(-1)(cos x)` and `h(x)=cot^(-1)(cot x)`, then which of the following is/are correct ?

A

`f(x)=g(x)" if " x in (0, (pi)/(4))`

B

`f(x) lt g(x)" if " x in ((pi)/(2), (3pi)/(4))`

C

`f(x) lt g(x)" if " (pi, (5pi)/(4))`

D

`f(x) gt g(x)" if " x in (pi, (5pi)/(4))`

Text Solution

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The correct Answer is:
A, B, C
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