" 3."y=cos^(-1)((2x)/(1+x^(2)))-1

If y=(x cos^(-1)x)/(sqrt(1-x^(2)))-log sqrt(1-x^(2)), then prove that (dy)/(dx)=(co^(1-x)x)/((1-x^(2))^((3)/(2)))

2cos y=x+(1)/(x), provethat cos2y=(1)/(2)(x^(2)+(1)/(x^(2)))

If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1)(3z-z^3)/(1-3z^2)=5pi then x+y+z=

y=(1)/(3(1+sin x)-cos^(2)x)

If sec^(-1)(cos^(2)x-2cos x+3)+cos ec^(-1)(5^(cos ec^(2)y)+1)=(pi)/(2) Then sin^(2)x-cos^(2)y=

If y=sin^(-1)2x+Tan^(-1)3x+cos^(-1)2x+cot^(-1)3x Then (dy)/(dx)=

y(x)=cos(3cos^(-1)x),x in[-1,1],x!=+-(sqrt(3))/(2) Then (1)/(y(x)){(x^(2)-1)(d^(2)y(x))/(dx^(2))+x(dy(x))/(dx)} equals