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If f(x)={sin^(-1)(sinx),xgt0 (pi)/(2),...

If `f(x)={sin^(-1)(sinx),xgt0`
`(pi)/(2),x=0,then
cos^(-1)(cosx),xlt0`

A

x=0is apoint of maxima

B

x=0 is a point of minima

C

x=0 is a point of intersectionn

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
1
`f(x) =pi//2f(0^(+))=0f(0^(-))=0`
Hence x =0 is the point of maxima
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