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[" Let "f(x)=(sin(tan^(-1)x)+sin(cot^(-1...

[" Let "f(x)=(sin(tan^(-1)x)+sin(cot^(-1)x))^(2)-1,|x|>1],[" If "(dy)/(dx)=(1)/(2)(d)/(dx)(sin^(-1)(f(x)))" and "y(sqrt(3))=(pi)/(6)],[" then "y(-sqrt(3))" is equal to "],[[" (1) "(5 pi)/(6)," (日) "-(pi)/(6)],[" (3) "(pi)/(3)," (4) "(2 pi)/(3)]]

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Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1 , where |x| gt 1 and dy/dx = 1/2 d/dx (sin^(-1) f(x)) . If y(sqrt3) = pi/6 then y( -sqrt3)

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