[" If "A,B,C" are the angles of a triangle,the system of equation,"],[(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,(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 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, 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, 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=

If alpha,beta,gamma are the angles of a triangle and system of equations cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0 cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0 sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0 has non-trivial solutions, then triangle is necessarily a. equilateral b. isosceles c. right angled "" d. acute angled

If alpha,beta,gamma are the angles of a triangle and system of equations cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0 cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0 sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0 has non-trivial solutions, then triangle is necessarily a. equilateral b. isosceles c. right angled "" d. acute angled

If alpha,beta,gamma are the angles of a triangle and system of equations cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0 cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0 sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0 has non-trivial solutions, then triangle is necessarily a. equilateral b. isosceles c. right angled "" d. acute angled