y*y=sin'((2x)/(1+x^(2)))

If y = 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) , then "………"lt y lt "………" .

If y = 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) , then "………"lt y lt "………" .

If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

If (cos^(4)x)/(cos^(2)y)+(sin^(4)x)/(sin^(2)y)=1 , then (cos^(4)y)/(cos^(2)x)+(sin^(4)y)/(sin^(2)y) equal :

Show that (i) cos x+cos y=2 cos (x+y)/(2) cos (x-y)/(2) (ii) cos x-cos y=-2 sin (x+y)/(2) sin (x-y)/(2) (iii) sin x+sin y=2 sin (dot(x)+y)/(2) cos (x-y)/(2) (iv) sin x-sin y=2 cos (x+y)/(2) sin (x-y)/(2)

If sin y=x sin(a+y), then show that: (dy)/(dx)=(sin a)/(1-2x cos a+x^(2))

"If "e^(sin(x^(2)+y^(2)))=tan""(y^(2))/(4)+sin^(-1)x," then y'(0) can be "

If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y^2=(sin^(-1)x)^2

If sin^(2)x+cos^(2)y=1 , show that dy/dx=(sin2x)/(sin 2y)

If y=1/2sin^(- 1)((2x y)/(x^2+y^2))andyltxlim_(y-gt0)x=