सिद्ध कीजिए कि `:`
`a sin ((A)/(2)+B)=(b+c)sin.(A)/(2)`

If A+B+C= pi and (sin 2 A + sin 2B + sin 2 C)/(sin A + sin B + sin C ) = lamda sin ((A)/(2)) sin ((B)/(2)) sin ((C )/(2)) , then the value of lamda must be

sin (B + 2C) + sin (C + 2A) + sin (A + 2B) = 4sin ((BC) / (2) sin ((CA) / (2)) sin ((AB) / (2)

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

(sin2A + sin2B + sin2C) / (sin A + sin B + sin C) = 8sin ((A) / (2)) sin ((B) / (2)) sin ((C) / (2))

sin ^ (2) ((A) / (2)) + sin ^ (2) ((B) / (2)) + sin ^ (2) ((C) / (2)) = 1-sin (( A) / (2)) sin ((B) / (2)) sin ((C) / (2))

If A, B, C are angles in a triangle , prove that sin A+ sin B -sin C =4sin. (A)/(2)sin. (B)/(2) cos. (C)/(2)

If A + B + C = pi , then show that sin (A + B + C)/( 2) = sin(A / 2) * cos "" (B + C)/( 2) + sin "" (B + C)/( 2) * cos "" (A) / (2)

sin A + sin B-sin C = 4sin ((A) / (2)) sin ((B) / (2)) cos ((C) / (2))

सिद्ध कीजिए कि |vecA xx vecB|^(2) + |vecA * vecB|^(2) = (AB)^(2).