x=sqrt(a^(sin t)),y=sqrt(a^(cos^(-1)t))" then "(dy)/(dx)=

If x=sqrt(a^(sin^-1t)) , y=sqrt(a^(cos^-1t)) , then (dy)/(dx)=.........

If x=sqrt(a^(sin^-1 t) , y=sqrt(a^(cos^-1 t) Show that dy/dx=(-y)/x

If x=sqrt(a^(sin^(-1))t),y=sqrt(a^(cos^(-1)t)) show that (dy)/(dx)=-(y)/(x)

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that dy/dx=-y/x

If x=sqrt(a^(sin-1)t),y=sqrt(a^(cos-1)t) then show that (dy)/(dx)=-(y)/(x)

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that (dy)/(dx)=-(y)/(x) .

x=sqrt(sin 2t),y=sqrt(cos 2 t)

If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that, dy/dx=-y/x.

For a gt 0, t in (0, (pi)/(2)) . Let x= sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t)), then 1+((dy)/(dx))^(2) equals.