`sin^(- 1)((x^2-y^2)/(x^2+y^2))=k` then

If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k , k is a constant, then prove that (dy)/(dx)=y/x .

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=k , k is a constant, then prove that (dy)/(dx)=(y)/(x) .

if sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=c prove that (dy)/(dx)=(y)/(x)

If y=(sin^(-1)x cos^(-1)((x^2)/2))/(1+x^2) then find the value of y(1/2) + y(1/sqrt2) + y(-1/2) + y(-1/sqrt2)

the value of lim_(x rarr y)(sin^(2)x-sin^(2)y)/(x^(2)-y^(2)) equals

(sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , then x^2+y^2 is equal to

If (cos ^ (4) x) / (cos ^ (2) y) + (sin ^ (4) x) / (sin ^ (2) y) = 1 then prove that (cos ^ (4) y) / (cos ^ (2) x) + (sin ^ (4) y) / (sin ^ (2) x) = 1

If sin^(-1)x+sin^(-1)y=(pi)/(2) and sin2x=cos2y then the value of x is and sin2x=cos2y