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

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

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

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

In any DeltaABC , prove that acos(A+B+C)-bcos(B+A)-c""cos(A+C)=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 asin""1/2(B-C)=(b-c)cos""1/2A

In DeltaABC , prove that: (b+c)cos(B+C)/(2)=acos(B-C)/(2)

In a DeltaA B C ,\ prove that , sin^3Acos(B-C)+sin^3B cos(C-A)+sin^3\ C cos(A-B) = 3\ sin A\ sin B \ sin C

In DeltaABC , prove that: acosA+bcosB=(c)cos(A-B)

In any DeltaABC , prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2))