If `2^x=3^y=6^(-z)` find the value of `(1/x+1/y+1/z)`

Find the value of : |(1+x,y,z),(x,1+y,z),(x,y,1+z)|

If x = 2, y = 3 and z = -1, find the values of : (xy)/(z)

If csc^(-1)x+csc^(-1)y+csc^(-1)z=-(3 pi)/(2) find the value of (x)/(y)+(y)/(z)+(z)/(x)

The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b .

If x=1, y=2 and z =3 then find the value of x^3 - z^3 + y^3

If x=1, y=2, z=-1 then find the value of z^2-2xy(x-y)

If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1). x y+y z+z y and (2). x(y+z)+y(z+x)+z(x+y)

If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1) x y+y z+z y and (2) x(y+z)+y(z+x)+z(x+y)