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[" Consider "f(x)=tan^(-1)(sqrt((1+sin x)/(1-sin x))),x in(0,(pi)/(2))." A normal to "y=f(x)" at "x=(pi)/(6)" also passes through "],[" the point: "],[[" (1) "((pi)/(4),0)," (2) "(0,0)," [JEE-MAIN "2016]]]

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If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?