In `Delta ABC, a, b, c` are the opposite sides of the angles `A,B and C` respectively, then prove `sinB/sin(B+C)=b/a`

In a DeltaABC, a,b,c are the sides of the triangle opposite to the angles A,B,C respectively. Then the value of a^3sin(B-C)+b^3 sin(C-A)+c^3 sin(A-B) is equal to

In a Delta ABC,a,b,c are the sides of the triangle opposite to the angles A,B,C respectively. Then, the value of a^3 sin(B-C)+b^3 sin(C-A)+c^3 sin(A) is equal to (B) 1 (C) 3 (D) 2

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is

If A, B, C are angles of triangle ABC and a, b, c are lengths of the sides opposite to A, B, C respectively, then show that : a (sin B - sin C)+ b (sin C- sin A)+c (sin A -sin B)= 0 .

Using vectro mehod, prove that in a /_\ABC, a/(sinA),b/(sinB)=c/(sinC) where a,b,c are the lenths of the sides opposite to the angles A,B and C respectively of /_\ABC .

In triangle ABC if a,b,c are sides opposite of angles A, B, C respectivgely, then which of the following is correct ?

If the angles A,B and C of a triangle ABC are in an A.P with a positive common difference such that the smallest angle is one third of the largest angle, and the sides a, b and c are the sides opposite to the angles A ,B and C such that (a)/(sin A)=(b)/(sin B)=(c)/(sin C) then the ratio of the longest side to that of the shortest side will be