Show that `sinA*sin(B-C)+sinB*sin(C-A)+sinC*sin(A-B)=0`.

Show that: sinAsin(B-C)+sinB sin(C-A)+sinCsin(A-B)=0

Show that: sinAsin(B-C)+sinB sin(C-A)+sinCsin(A-B)=0

Prove the sinA.sin(B-C) + sinB.sin(C-A) + sinC.sin(A-B) = 0

Prove that (sin(B-C))/(sinB.sinC) + (sin(C-A))/(sinCsinA) + (sin(A-B))/(sinA.sinB) = 0

In a triangle ABC, prove that (a^2sin(B-C))/sinA+(b^2sin(C-A))/sinB+(c^2sin(A-B))/sinC=0

If A,B,C be the angles ofa triangle then prove that (sin A + sin B)(sin B + sin C)(sinC + sinA) gt sin A sin B sinC .

If sinA/sinB=sin(A-C)/sin(C-B) then

If A,B and C are the angle of a triangle show that |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0.

If A,B and C are the angle of a triangle show that |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0.

If A,B and C are the angle of a triangle show that (i) |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0. (ii) |{:(-1+CcosB,cosC+cosB,cosB),(cosC+cosA,-1+cosA,cosB),(-1+cosB,-1+cosA,-1):}|=0.