In any `DeltaABC` prove that, `a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0`.

In any DeltaABC , prove that a^(3)cos(B-C)+b^(3)cos(C-A)+c^(3)cos(A-B)=3abc

In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B)=0

In any DeltaABC , prove that a^(3)sin(B-C)cosec^(2)A+b^(3)sin(C-A)cosec^(2)B+c^(3)sin(A-B)cosec^(2)C=0

In any DeltaABC , prove that (sinA)/(sin(A+B))=a/c

In any DeltaABC , prove that asin(A/2+B)=(b+c)sin""A/2

In a DeltaABC , prove that : sin3A sin(B-C)+sin3B sin(C-A) + sin3C sin (A-B)=0 .

In any DeltaABC , prove that (sin B)/(sin(B+C) ) = b/a

In any triangle A B C , prove that: \ asin(B-C)+b sin(C-A)+csin(A-B)=0

In any DeltaABC , prove that acos""((B-C)/2)=(b+c)sin""(A/2) .

In any DeltaABC , prove that b^(2)sin2C+c^(2)sin2B=2bcsinA=4Delta .