If `A ,Ba n dC` are the vetices of a triangle `A B C ,` then prove sine rule `a/(sinA)=b/(sinB)=c/(sinC)dot`

In a triangle ABC , prove that ,(sinA+sinB)/2lt=sin((A+B)/2)

Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c/(sinC) .

In triangle ABC , prove that a^2sin(B-C)=(b^2-c^2)sinA .

If A,B,C are the angles of a triangle, the system of equations (sinA)x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

If A ,B and C are the angles of an equilateral triangle, then the value of |{:(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB+sin^2B,sinC+sin^2C):}| is ...........

In any triangle ABC , prove that a(cosB+cot(A/2).sinB)=b+c .

If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), then sinA ,sinB ,sinC are in (a)AdotPdot (b) GdotPdot (c) HdotPdot (d) none of these

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

In DeltaABC , prove that: sinB+sinC gt sinA