Question

defferentiation of
(sin x - cos x)/(sin x + cos x)​

Answer 1

Answer:

(sinx-cosx)/(sinx+cosx)

=((sinx+cosx)(cosx+sinx)-(sinx-cosx)(cosx-sinx))/(sinx+cosx)^2

=((sinx+cosx)^2+(sinx-cosx)^2)/(sinx+cosx)^2

=2(sin^2+cos^2)/(sin^2+cos^2+2sinxcosx)

=2(1)/(1+sin2x)

=2/(1+sin2x)