If A,B,C be the angles of a triangle, prove that `(sin(B+C)+sin(C+A)+sin(A+B))/(sin(pi+A)+sin(3pi+B)+sin(5pi+C))=-1`

In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin Asin Bsin Cdot

If A, B, C are the angles of a triangle such that sin^(2)A+sin^(2)B=sin^(2)C , then

If A, B, C are the angles of a triangle, then the determinant Delta = |(sin 2 A,sin C,sin B),(sin C,sin 2B,sin A),(sin B,sin A,sin 2 C)| is equal to

19. Prove that sin(A +B) sin(A-B)+sin(B+C)sin(B-C) + sin(C+A) sin(C-A)=0

For any triangle ABC, prove that sin(B-C)/sin(B+C)=(b^2-c^2)/(a^2)

In any triangle ABC, prove that sin^3Acos(B-C)+sin^3Bcos(C-A)+sin^3Ccos(A-B) = 3sinAsinBsinC

In any triangle ABC ,prove that (a-b cos C)/( c-b cos A ) = (sin C ) /( sin A)

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

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

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