In any `DeltaABC`, prove that `(a+b-c) cot (B/2) = (a-b+c) cot (C/2)`

In any DeltaABC , prove that cot (A/2) + cot (B/2) + cot (C/2) = (a+b+c)/(b+c-a) cot (A/2)

In any DeltaABC , prove that : (b-c)/a cos^2 (A/2) + (c-a)/b cos^2 (B/2) + (a-b)/c cos^2 (C/2) = 0

In any DeltaABC , prove that: (a+b-c)/(a+b+c) = tan (A/2) tan (B/2)

In any DeltaABC , prove that : tan (A/2 + B) = (c+b)/(c-b) tan (A/2)

In any triangle A B C , prove that: (b-c)cot (A/2)+(c-a)cot (B/2)+(a-b)cot (C/2) =0

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

In DeltaABC , prove that: (a+b+c).(tan(A/2)+tan(B/2))=2c cot(C/2)

In any DeltaABC , prove that (i) tan""(B-C)/2=(b-c)/(b+c)cot""A/2 . (ii) If angleB=90^(@) , prove that tan(A/2)=sqrt(((b-c)/(b+c))) . (iii) If angleC=90^(@) , prove that tan((A−B)/2)/tan((A+B)/2)=(a-b)/(a+b) .

In any DeltaABC , prove that acos""((B-C)/2)=(b+c)sin""(A/2) .

In any DeltaABC , prove that (sinA)/(sin(A+B))=a/c