If A, B, C are the angles of a triangle, the system of equations, `(sin A)x + y + z = cos A, x + (sin B)y + z = cos B, x + y + (sin C)z = 1-cos C` has

If A,B,C are the angles of a triangle, the system of equations (sinA)x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

If A, B, C are the angles of triangle, the system of equations (sinA) x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

If A,B,C are the angles of a triangle, the system of equations (sinA)x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

If A,B,C are the angles of a triangle, the system of equations (sinA)x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

If A,B, and C are the angles of triangle,show that the system of equations x sin2A+yisnC+z sin B=0,sin C+y sin2B+z sin A=0, and x sin B+y sin A+z sin2C= posses nontrivial solution.Hence,system has infinite solutions.

If x=cis A , y=cis B , z =cis C where A, B, C are the angles of a triangle then x y z=

cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) (( x-y)/( 2)) =

cos x + cos y + cos z = 0 and sin x + sin y + sin, then cos ^ (2) ((xy) / (2)) =

If cos x + cos y + cos z = 0 = sin x + sin y + sin then tan (xy) =