Let `x, y, z` be real numbers with `x >= y >= z >= pi/12` such that `x+y+z=pi/2` and let `P= cosx.siny.cosz` then

If x, y, z are positive real numbers such that x+y+z=a, then

If x, y, z are positive real numbers such that x+y+z=a, then

Let a, x, y, z be real numbers satisfying the equations ax+ay=z x+ay=z x+ay=az, where x, y, z are not all zero, then the number of the possible values of a is

Let a, x, y, z be real numbers satisfying the equations ax+ay=z x+ay=z x+ay=az, where x, y, z are not all zero, then the number of the possible values of a is

Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y^4z^5 = (0.1)(600)^3 . Then x^3+y^3+z^3 is

Let x,y and z be real numbers such that x+y+z=20 and x+2y+3z=16 .What is the value of x+3y+5z?

Let x, y, z be non-zero real numbers such that x/y + y/z + z/x = 7 and y/x + z/y + x/z = 9 , then (x^3)/y^3 + y^3/z^3 + z^3/x^3 - 3 is equal to

Let x , y , z be non - zero real numbers lying in the interval [-1,1] such that cos^-1 x + cos^-1 y + cos^-1 z = pi The value of x sqrt(1 - x^2) + ysqrt(1 - y^2) + zsqrt(1 - z^2) is equal to