Question

26. Prove that
(Sin Q + Cos Q)/ (Sin Q – Cos Q) + (Sin Q – Cos Q) / (Sin Q + Cos Q) = 2 / (2 Sin2Q – 1).

Answer 1

here is the answer.


by L. H. S.
take LCM ,we get
sin^2Q +cos^2Q +2sinQcosQ+sin^2Q+cos^2Q-2sinQcosQ/sin^2-cos^2Q
=1+1/sin^2Q-(1-sin^2Q)
(sin2Q+cos2Q=1)
(cos2Q=1-sin2Q)
=2/2sin2Q-1
hence proved
hope it helps.....