Question

1 + sin 2 A + cos 2 A/1 + sin 2 A _ cos 2 A= cot A

Answer 1

(1+cos2A)+sin2A/(1-cos2A)+sin2A
=2cos^2A+2sinAcosA/2sin^2A+2sinAcosA
take common
=2cosA(cosA+sinA)/2sinA(sinA+cosA)
after cancellation
=cosA/sinA
=cotA. proved