how you would express [c0s(2x)/sinx ]+ [sin(2x)/cosx]

Use trigonometric identities to simplify to 1/sin(x).

The identities required are:
cos(2x) = cos2(x) - sin2(x)
sin(2x) = 2sin(x)cos(x)
cos2(x) + sin2(x) = 1