Question

prove that 2 sin a/1+ cosa + sina=1-cosa + sina/ 1+ sina

Answer 1

Answer:

First of all

L.H.S

1-cosA/sinA = 2sin^2(A/2) / 2sin(A/2)cos(A/2)

=sin(A/2) / cos(A/2)

=tan(A/2).

R.H.S

sinA/1+cosA = 2sin(A/2)cos(A/2) / 2cos^2(A/2)

=sin(A/2) / cos(A/2)

=tan(A/2) =L.H.S