I have two questions that I am getting nowhere on:

1. Verify the identity: cotx+tanx=cscxsecx

I thought of working on the right side, but I came up with (1/tanx)+(sinx/cosx) and didn't know where to go from there.

2. Verify the identity: (15sinx-4cos^2x)/(4+sinx)=4sinx-1

I don't even know where to begin on this one!

Any help is much appreciated, and since I need to show work, a brief explanation is welcomed. Thanks in advance!!