Prove that `(a sin(B-C))/(b^(2)-c^(2))=(b sin(C-A))/(c^(2)-a^(2))=(c sin(A-B))/(a^(2)-b^(2))`

In any DeltaABC , prove that ((b^(2)-c^(2)))/a^(2)"sin 2a"+((c^(2)-a^(2)))/b^(2)" sin 2B+"((a^(2)-b^(2)))/c^(2)"sin 2C=0"

In a ABC, prove that: ((b^(2)-c^(2))/(a^(2)))sin2A+((c^(2)-a^(2))/(b^(2)))sin2B+((a^(2)-b^(2))/(c^(2)))sin2C=0

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

In any Delta ABC, prove that :(b^(2)-c^(2))sin^(2)A+(c^(2)-a^(2))sin^(2)B+(a^(2)-b^(2))sin^(2)C=0

For any triangle ABC,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

In any ABC ,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

In Delta ABC, prove that (a^(2)sin (B-C))/(sin A) + (b^(2) sin (C-A))/(sin B) + (c^(2) sin (A-B))/(sin C) = 0

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

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

If A+B+C=pi, then prove that sin(B+2C)+sin(C+2A)+sin(A+2B)=4sin((B-C)/(2))sin((C-A)/(2))sin((A-B)/(2))