prove that`(b-c)sin A+(c-a)sin B+(a-b)sin C=0`

In a Delta ABC, prove that (sin A+sin B)(sin B+sin C)(sin C+sin A)>sin A sin B sin C

Show that: sin A sin(B-C)+sin B sin(C-A)+sin C sin(A-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 are acute angles then prove that: (sin A)/(sin B)+(sin B)/(sin C)+(sin C)/(sin A)<=(A)/(B)+(B)/(C)+(C)/(A)<=(tan A)/(tan B)+(tan B)/(tan C)+(tan C)/(tan A)

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

If A+B+C =180^(@) then prove that sin 2A + sin 2B+ sin 2C = 4 sin A sin B sin C