In a ` DeltaA B C ,` prove the following : `4\ (b c cos^2(A/2)+c acos^2(B/2)+a bcos^2(C/2)\ )\ =(a+b+c)^2`

In a DeltaA B C , prove the following : c\ (acosB-bcosA)=a^2-b^2dot

In a DeltaA B C , prove the following : a\ cos A+b\ cos B+c cos C=2bsinA sin\ Cdot

in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(a-b)(/c)cos^2(C/2)=0

In a DeltaA B C , prove the following : (c^2-a^2+b^2)tanA=(a^2-b^2+c^2)tanB=(b^2-c^2+a^2)tanC

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

In Delta ABC prove that 2(b cos^(2)((C)/(2))-c cos^(2)((B)/(2)))=a+b+c

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

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

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