[=0],[" any "/_ABC" ,prove that "],[(a-b)^(2)cos^(2)(C)/(2)+(a+b)^(2)sin^(2)(C)/(2)=c^(2)" ."]

In Delta ABC , prove that (b - c)^(2) cos^(2) ((A)/(2)) + (b + c)^(2) sin^(2) ((A)/(2)) = a^(2) .

In any Delta ABC, prove that :(b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

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

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

In any ABC ,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

In any Delta ABC, prove that :2(a sin^(2)((C)/(2))+c sin^(2)((A)/(2)))=a+c-b

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

In any /_\ABC ,prove that sin(B-C)/(sin(B+C))=(b^2-c^2)/(a^2)

For any triangle ABC ,prove that (a+b)/(c)=(cos((A-B)/(2)))/(sin(C)/(2))

In any Delta ABC, prove that :(a+b)/(c)=(cos((A-B)/(2)))/(sin((c)/(2)))