In any `DeltaABC`, prove that `(a-b)^(2)cos^(2)""C/2+(a+b)^(2)sin^(2)""C/2=c^(2).`

In DeltaABC , prove that: (b-c)^(2)cos^(2)A/2+(b+c)^(2)sin^(2)A/2=a^(2)

prove that : (c-b)^(2)cos^(2)((A)/(2))+(c+b)^(2)sin^(2)((A)/(2))=a^(2)

In any DeltaABC , prove that ((a-b))/c"cos"C/2="sin"((A-B))/2

In any DeltaABC , prove that 4(bc cos^(2)""A/2+ca cos^(2)""B/2+ab cos^(2)""C/2)=(a+b+c)^(2)

In any DeltaABC , prove that a(bcosC-c cosB)=(b^(2)-c^(2))

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

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

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

In any DeltaABC , prove that ((a+b))/csin""C/2=cos""((A-B))/2

In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2) =