[" Let "x,y,z" be real numbers with "],[x>=y>=z>=(pi)/(12)" such that "],[x+y+z=(pi)/(2)" and let "P=cos x*sin y*cos z],[" then "]

If x+y+z= (pi)/(2) show that sin 2x + sin 2y + sin 2z =4 cos x cosy cos z

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?

If sin x+sin y+sin z=3. Find the value of cos x+cos y+cos z

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 , 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

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

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^2 + y^2 + z^2 is equal to

Let x,y,z are positive real numbers satisfying x+y+z=1 . If the maximum value of x^(3)y^(2)z can be expressed as (a)/(b) where a and b are co-prime,then the value of (a+b) is

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