Question

sin(B+C) sin(B-C) + sin(C+ A) sin(C-A)
+ sin(A + B) sin(A - B)=?​

Answer 1

Answer:

0

Step-by-step explanation:

Answer By- shauryasrinet2p83lee

SinA . Sin(B - C) + SinB . Sin(C - A) + SinC . Sin(A - B)=0

=>SinA . (SinBCosC - CosBSinC) + SinB . (SinCCosA - CosCSinA) + SinC . (SinACosB - CosASinB)

=>SinASinBCosC -SinACosBSinC + SinBSinCCosA - SinBCosCSinA + SinCSinACosB - SinCCosASinB

All get cancelled

=>0

Hence Proved