Find the value of `( 1/x + 1/y ) ( 1/x - 1/y ) ( 1/x^2 + 1/y^2 )`

The value of ((x/y- y/x)(y/z -z/y) (z/x -x/z))/((1/x^(2) -1/y^(2))(1/y^(2)-1/z^(2))(1/z^(2)-1/x^(2))) is

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)

Find the value of ( (x^-2 times y^-4 )/ ( x^-3 times y^-1) ÷ y^-2/x^-1 )

If sec^(-1) x = cosec^(-1) y , then find the value of cos^(-1) . 1/x + cos ^(-1) . 1/y .

Find the value of (x+y) ,if (x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)