Question

in triangle ABC ,prove that

sin(A-B)/sin(A+B)=a2-b2/c2

Answer 1

Answer:

L. H. S =sin(A+B) sin(A-B) /sin^2 (A+B)

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

(a^2 - b^2) 4R^2

=...................................

c^2 /4R^2

=(a^2 - b^2) /c^2