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Let f(x)=sin^(-1)x and g(x)=cos^(-1)x, t...

Let `f(x)=sin^(-1)x and g(x)=cos^(-1)x`, then which of the following statements are correct?

A

`{:"f(x)" gt"g(x),"if"x in (1/sqrt2,1]:}`

B

`{:"f(x)" lt"g(x),"if"x in [-1,1/sqrt2):}`

C

`{:"f(x)" gt"g(x),"if"x in (-1/sqrt2,1/sqrt2):}`

D

`{:"f(x)" lt"g(x),"if"x in [-1/sqrt2,1/sqrt2]:}`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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