If `sin(sin^(-1)1/5+cos^(-1)x)=1,`then find the value of `xdot`

1.	If `sin(sin^(-1)1/5+cos^(-1)x)=1,`then find the value of `xdot`
Answer» `sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1` `implies sin (sin^(-1)""(1)/(5)+cos^(-1)x)=sin""(pi)/(2)` `implies sin^(-1)""(1)/(5)+cos^(-1)x=(pi)/(2)` `implies sin^(-1)""(1)/(5)=(pi)/(2)-cos^(-1)x` `implies sin^(-1)""(1)/(5)=sin^(-1)ximplies x=(1)/(5)`

Discussion

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