In a `DeltaA B Csum(b+c)tanA/2tan((B-C)/2)=`

In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

In DeltaABC,(a+b+c)(tanA/2+tanB/2)=

In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).

In any triangle ABC, the value of (b+c) tan ""A/2 tan ""(B-C)/(2)+ (c+a) tan ""B/2 tan ""(C-A)/(2) + (a+b) tan ""C/2 tan ""(A-B)/(2) is-

In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b^2 (d) 0

In a DeltaA B C ,1/(1+tan^2(A/2))+1/(1+tan^2(B/2))+1/(1+tan^2(C/2)) = k [1+sin(A/2) sin(B/2) sin(C/2)], then the value of k is

In a DeltaA B C ,1/(1+tan^2(A/2))+1/(1+tan^2(B/2))+1/(1+tan^2(C/2))=k [1+sin(A/2) sin(B/2) sin(C/2)], then the value of k is

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 triangle ABC, if 3(tan'A/2' + tan'C/2') = 2 cot 'B/2 then show that, its sides a,b,c are in A.P.