Prove that `(a^2sin(B-C))/(sinB+sinC)+(b^2sin(C-A))/(sinC+sinA)+(c^2sin(A-B))/(sinA+sinB) =0`

In any DeltaABC , find the value of (a^(2)sin(B-C))/(sinB+sinC)+(b^(2)sin(C-A))/(sinC+sinA)+(c^(2)sin(A-B))/(sinA+sinB)

sin(B-C)/(sinB*sinC)+sin(C-A)/(sinC*sinA)+(sin(A-B))/(sin A*sin B)=0

In DeltaABC , prove that: (a^(2)sin(B-C))/(sinA) + (b^(2)sin(C-A))/(sinB)+(c^(2)sin(A-B))/(sinC)=0

If A+B+C=pi , prove that : (cosA)/(sinBsinC) + (cosB)/(sinC sinA) + (cosC)/(sinA sinB) =2 .

Prove that: (sin(A-C)+2sinA+sin(A+C))/(sin(B-C)+2sinB+sin(B+C))=(sinA)/(sinB)

Prove that: sin(A+2B)sinA-sinBsin(2A+B)sinB=sin(A+B)sin(A-B)

If A+B+C=pi , prove that : (sin 2A+sin 2B + sin 2C)/(sinA+sinB+sinC) = 8 sin(A/2) sin(B/2) sin(C/2)

If sinA/sinB=sin(A-C)/sin(C-B) then

Show that sinA*sin(B-C)+sinB*sin(C-A)+sinC*sin(A-B)=0 .

In triangleABC, a(sinB-sinC)+b(sinC-sinA)+c(sinA-sinB)=