I got an urge for some trigonometry so I dug up my old books and got to it! I also have a lot of my old answers as well but there was one I can't figure out how I was thinking!
I had to simpify this expression:
$$\sin x + \frac{\cos^2 x}{\sin x} = \frac{\sin^2x+\cos^2x}{\sin x}=\frac{1}{\sin x}$$
I can't figure out I got from the first to second step.. Any suggestions? Thank you! :)